Skip to Content
You are currently on the new version of our website. Access the old version .

3,005 Results Found

  • Article
  • Open Access
2,120 Views
18 Pages

30 April 2021

This work explores neural approximation for nonlinear dimensionality reduction mapping based on internal representations of graph-organized regular data supports. Given training observations are assumed as a sample from a high-dimensional space with...

(This article belongs to the Special Issue New Trends in Numerics and Dynamics of Artificial Neural Networks: Theory and Applications)
  • Article
  • Open Access
5 Citations
2,487 Views
14 Pages

Dendrite Net with Acceleration Module for Faster Nonlinear Mapping and System Identification

  • Gang Liu,
  • Yajing Pang,
  • Shuai Yin,
  • Xiaoke Niu and ,
  • Jing Wang and
  • Hong Wan
  • + 1 author+ 0 author

27 November 2022

Nonlinear mapping is an essential and common demand in online systems, such as sensor systems and mobile phones. Accelerating nonlinear mapping will directly speed up online systems. Previously the authors of this paper proposed a Dendrite Net (DD) w...

(This article belongs to the Special Issue Mathematical Modeling, Optimization and Machine Learning)
  • Article
  • Open Access
10 Citations
4,212 Views
16 Pages

25 February 2019

This paper introduces an adaptive image rendering using a parametric nonlinear mapping-function-based on the retinex model in a low-light source. For this study, only a luminance channel was used to estimate the reflectance component of an observed l...

(This article belongs to the Special Issue Computational Intelligence-Based Sensors)
  • Article
  • Open Access
19 Citations
3,427 Views
18 Pages

4 November 2021

This paper examines the effect of structural deformation on the unit slab-type ballastless track structure of high-speed railway. The principle of stationary potential energy was used to map the relation between girder vertical deformation and rail d...

(This article belongs to the Section Smart and Functional Materials)
  • Article
  • Open Access
496 Views
22 Pages

During financial crises, markets do not only fall or become more volatile. They may also become more dynamically coupled, with the behaviour of one market becoming more recoverable from another. The purpose of this study is to examine whether crisis...

(This article belongs to the Special Issue Mathematical Modelling in Economics and Finance)
  • Article
  • Open Access
20 Citations
4,654 Views
15 Pages

Trajectory Tracking Control of a Skid-Steer Mobile Robot Based on Nonlinear Model Predictive Control with a Hydraulic Motor Velocity Mapping

  • Jian Wang,
  • Zhen Liu,
  • Hongqiang Chen,
  • Yi Zhang and ,
  • Daqing Zhang and
  • Changfeng Peng
  • + 1 author+ 0 author

22 December 2023

In this study, we address the trajectory tracking control problem of a hydraulic-driven skid-steer mobile robot. A hierarchical control strategy is proposed to simultaneously consider the robot’s position control and the velocity control of the...

(This article belongs to the Special Issue Research and Development of Intelligent Robot)
  • Article
  • Open Access
1 Citations
1,882 Views
20 Pages

13 May 2022

This paper investigates the Bregman version of the Takahashi-type generic 2-generalized nonspreading mapping which includes the generic 2-generalized Bregman nonspreading mapping as a special case. Relative to the attractive points of nonlinear mappi...

  • Article
  • Open Access
1,174 Views
16 Pages

Solutions of Nonlinear Differential and Integral Equations via Optimality Results Involving Proximal Mappings

  • Sonam,
  • Deb Sarkar,
  • Purvee Bhardwaj,
  • Satyendra Narayan and
  • Ramakant Bhardwaj

This research paper delves into the application of optimality results in orthogonal fuzzy metric spaces to demonstrate the existence and uniqueness of solutions of nonlinear differential equations with boundary conditions and nonlinear integral equat...

  • Article
  • Open Access
22 Citations
2,060 Views
14 Pages

9 August 2022

In this paper, we first introduce a new family of functions like an implicit function called Γ-functions. Furthermore, we introduce a new concept of α-ΓF-fuzzy contractive mappings, which is weaker than the class of fuzzy F-contract...

  • Article
  • Open Access
1,059 Views
16 Pages

In this paper, we propose the MUSWENO scheme, a novel mapped weighted essentially non-oscillatory (WENO) method that employs unequal-sized stencils, for solving nonlinear degenerate parabolic equations. The new mapping function and nonlinear weights...

  • Article
  • Open Access
4 Citations
3,726 Views
14 Pages

27 July 2022

In this paper, the output power map of a nonlinear energy harvester (PEH) made of a console beam and the membrane of a resonant vibration speaker is analyzed experimentally. The PEH uses two large piezoelectric patches (PZT-5H) bonded into a parallel...

(This article belongs to the Special Issue Advancing Engineering Technologies and Applications in Structural Dynamics and Vibrations)
  • Review
  • Open Access
194 Citations
15,951 Views
41 Pages

Review of Control Techniques for HVAC Systems—Nonlinearity Approaches Based on Fuzzy Cognitive Maps

  • Farinaz Behrooz,
  • Norman Mariun,
  • Mohammad Hamiruce Marhaban,
  • Mohd Amran Mohd Radzi and
  • Abdul Rahman Ramli

27 February 2018

Heating, Ventilating, and Air Conditioning (HVAC) systems are the major energy-consuming devices in buildings. Nowadays, due to the high demand for HVAC system installation in buildings, designing an effective controller in order to decrease the ener...

(This article belongs to the Special Issue Energy Efficient and Smart Cities)
  • Article
  • Open Access
17 Citations
3,800 Views
32 Pages

Designing Intelligent MIMO Nonlinear Controller Based on Fuzzy Cognitive Map Method for Energy Reduction of the Buildings

  • Farinaz Behrooz,
  • Rubiyah Yusof,
  • Norman Mariun,
  • Uswah Khairuddin and
  • Zool Hilmi Ismail

16 July 2019

Designing a suitable controller for air-conditioning systems to reduce energy consumption and simultaneously meet the requirements of the system is very challenging. Important factors such as stability and performance of the designed controllers shou...

(This article belongs to the Special Issue Automation, Control and Energy Efficiency in Complex Systems)
  • Article
  • Open Access
45 Citations
5,114 Views
30 Pages

10 November 2022

The tuna swarm optimization algorithm (TSO) is a new heuristic algorithm proposed by observing the foraging behavior of tuna populations. The advantages of TSO are a simple structure and fewer parameters. Although TSO converges faster than some class...

(This article belongs to the Special Issue Applications of Computational Intelligence)
  • Article
  • Open Access
2 Citations
2,498 Views
30 Pages

Non-linear least squares (NLS) methods are commonly used for quantitative magnetic resonance imaging (MRI), especially for multi-exponential T1ρ mapping, which provides precise parameter estimation for different relaxation models in tissues, such...

(This article belongs to the Section Biomechanics and Sports Medicine)
  • Feature Paper
  • Article
  • Open Access
9 Citations
2,706 Views
20 Pages

6 September 2023

We present an integrated method for mapping the basement structures of sedimentary basins by combining surface gravity data, seismic imaging, and borehole logging information. The core of the method is a nonlinear inversion algorithm for constructing...

(This article belongs to the Special Issue Applied Geophysics in Hydrocarbon Exploration, Energy Storage and CCUS)
  • Article
  • Open Access
1,512 Views
15 Pages

EKAResNet: Enhancing ResNet with Kolmogorov–Arnold Network-Based Nonlinear Feature Mapping

  • Zhiming Dang,
  • Tonghua Wu,
  • Wulin Zhang,
  • Jianxin Chen and ,
  • Huanlin Chen,
  • Xuan Liu and
  • Zirui Liu
  • + 2 authors+ 0 author

22 October 2025

Residual Networks (ResNet) address the vanishing gradient problem through skip connections and have become a fundamental architecture for computer vision tasks. However, standard convolutional layers exhibit limited capacity in modeling complex nonli...

(This article belongs to the Section Computational Engineering)
  • Article
  • Open Access
1 Citations
876 Views
8 Pages

A Fixed-Point Chatterjea–Singh Mapping Approach: Existence and Uniqueness of Solutions to Nonlinear BVPs

  • Zouaoui Bekri,
  • Nicola Fabiano,
  • Abdulaziz Khalid Alsharidi and
  • Mohammed Ahmed Alomair

15 October 2025

This paper introduces an application of the Chatterjea–Singh fixed-point theorem to nonlinear boundary value problems (BVPs). We define a Chatterjea–Singh mapping as one whose iterate Tp satisfies a Chatterjea-type contractive condition....

(This article belongs to the Topic Fixed Point Theory and Measure Theory)
  • Article
  • Open Access
70 Citations
6,583 Views
17 Pages

Comparative Assessment of Three Nonlinear Approaches for Landslide Susceptibility Mapping in a Coal Mine Area

  • Qiaomei Su,
  • Jin Zhang,
  • Shangmin Zhao,
  • Li Wang and ,
  • Jin Liu and
  • Jianli Guo
  • + 1 author+ 0 author

Landslide susceptibility mapping is the first and most important step involved in landslide hazard assessment. The purpose of the present study is to compare three nonlinear approaches for landslide susceptibility mapping and test whether coal mining...

(This article belongs to the Special Issue Advanced Geo-Information Technologies for Anticipatory Computing)
  • Article
  • Open Access
2 Citations
4,920 Views
14 Pages

Application-Specific SoC Design Using Core Mapping to 3D Mesh NoCs with Nonlinear Area Optimization and Simulated Annealing

  • Jan Moritz Joseph,
  • Dominik Ermel,
  • Lennart Bamberg,
  • Alberto García-Oritz and
  • Thilo Pionteck

Core mapping, in which a core graph is mapped to a network graph to minimize communication, is a common design problem for Systems-on-Chip interconnected by a Network-on-Chip. In conventional multiprocessors, this mapping is area-agnostic as the core...

(This article belongs to the Special Issue MOCAST 2019: Modern Circuits and Systems Technologies on Electronics)
  • Article
  • Open Access
16 Citations
5,572 Views
22 Pages

27 January 2021

On 2 May 2014, a large-scale landslide in Abe Barek, Badakhshan, Afghanistan, produced extensive damage to the buildings and killed hundreds of people. Evaluations of the extent and the volume of the displaced materials are vital for post-disaster ma...

(This article belongs to the Special Issue Recent Advances in Land Cover Classification and Change Detection in 2D and 3D)
  • Article
  • Open Access
13 Citations
2,668 Views
22 Pages

A Novel Multi-Sensor Nonlinear Tightly-Coupled Framework for Composite Robot Localization and Mapping

  • Lu Chen,
  • Amir Hussain,
  • Yu Liu,
  • Jie Tan and ,
  • Yang Li,
  • Yuhao Yang,
  • Haoyuan Ma,
  • Shenbing Fu and
  • Gun Li
  • + 4 authors+ 0 author

19 November 2024

Composite robots often encounter difficulties due to changes in illumination, external disturbances, reflective surface effects, and cumulative errors. These challenges significantly hinder their capabilities in environmental perception and the accur...

(This article belongs to the Section Optical Sensors)
  • Article
  • Open Access
1 Citations
1,750 Views
15 Pages

Some Remarks on Smooth Mappings of Hilbert and Banach Spaces and Their Local Convexity Property

  • Yarema A. Prykarpatskyy,
  • Petro Ya. Pukach,
  • Myroslava I. Vovk and
  • Michal Greguš

29 March 2024

We analyze smooth nonlinear mappings for Hilbert and Banach spaces that carry small balls to convex sets, provided that the radii of the balls are small enough. We focus on the study of new and mildly sufficient conditions for the nonlinear mapping o...

(This article belongs to the Section Hilbert’s Sixth Problem)
  • Article
  • Open Access
1 Citations
5,826 Views
22 Pages

29 September 2015

Dynamic behaviors in practical driveline systems for wind turbines or vehicles are inherently affected by multiple nonlinearities such as piecewise-type torsional springs. However, various excitation conditions with different levels of magnitudes als...

(This article belongs to the Collection Wind Turbines)
  • Article
  • Open Access
2 Citations
1,851 Views
12 Pages

In this work, a class of perturbed nonlinear Schrödinger equation is studied by using the homotopy perturbation method. Firstly, we obtain some Jacobi-like elliptic function solutions of the corresponding typical general undisturbed nonlinear Schrödi...

  • Article
  • Open Access
1 Citations
3,146 Views
9 Pages

31 January 2021

We study a class of nonlinear operators that can be written as the composition of a linear operator and a nonlinear map. We obtain results on fixed point index based on parameters that are related to the definitions of nonlinear spectra. As a particu...

(This article belongs to the Special Issue Advances in Nonlinear Spectral Theory)
  • Article
  • Open Access
24 Citations
5,238 Views
16 Pages

Spatiotemporal Fusion of Satellite Images via Very Deep Convolutional Networks

  • Yuhui Zheng,
  • Huihui Song,
  • Le Sun,
  • Zebin Wu and
  • Byeungwoo Jeon

18 November 2019

Spatiotemporal fusion provides an effective way to fuse two types of remote sensing data featured by complementary spatial and temporal properties (typical representatives are Landsat and MODIS images) to generate fused data with both high spatial an...

(This article belongs to the Section Remote Sensing Image Processing)
  • Article
  • Open Access
6 Citations
2,220 Views
18 Pages

4 August 2023

The salp swarm algorithm imitates the swarm behavior of salps during navigation and hunting that has been proven the superiority of search for best solution. However, although it has sufficient global search ability, it is still worth paying attentio...

  • Article
  • Open Access
291 Views
27 Pages

20 September 2026

We classify arbitrary, not necessarily additive, maps Φ:R→R satisfying the right bi-skew commuting identity Φ(a)b∗+ηbΦ(a)∗=aΦ(b)∗+ηΦ(b)a∗. For unital algebras with a second-kind scalar invo...

(This article belongs to the Special Issue Algebra, Ring Theory, and Homological Algebra with Analysis and Applications)
  • Article
  • Open Access
16 Citations
7,076 Views
19 Pages

Effects of the Magnetic Model of Interior Permanent Magnet Machine on MTPA, Flux Weakening and MTPV Evaluation

  • Claudio Bianchini,
  • Giorgio Bisceglie,
  • Ambra Torreggiani,
  • Matteo Davoli and ,
  • Elena Macrelli,
  • Alberto Bellini and
  • Matteo Frigieri
  • + 2 authors+ 0 author

8 January 2023

Interior permanent-magnet synchronous machines are widely spreading in automotive and vehicle traction applications, because of their high efficiency over a wide speed range. This capability can be achieved by appropriated control strategies: Maximum...

(This article belongs to the Section Vehicle Engineering)
  • Article
  • Open Access
10 Citations
6,697 Views
14 Pages

27 February 2017

Haze-fog has seriously hindered the sustainable development of the ecological environment and caused great harm to the physical and mental health of residents in China. Therefore, it is important to probe the formation of haze-fog for its early warni...

(This article belongs to the Special Issue Big Data and Predictive Analytics for Sustainability)
  • Article
  • Open Access
35 Citations
3,919 Views
18 Pages

17 July 2019

In this paper, we obtain coupled fixed point results for F-contraction mapping satisfying a nonlinear contraction condition in the framework of complete metric space without and with a directed graph. As applications of our results, we study a proble...

(This article belongs to the Special Issue Applications in Theoretical and Computational Fixed Point Problems)
  • Article
  • Open Access
871 Views
23 Pages

In harsh marine environments, vessel energy storage systems (VESS) face elevated thermal runaway (TR) risk, yet practical early warning remains difficult because early voltage differences between TR high-risk cells and normal cells are often weak, wa...

(This article belongs to the Section Ocean Engineering)
  • Article
  • Open Access
3 Citations
1,758 Views
26 Pages

7 February 2025

In this paper, we use an existing fixed point iterative scheme to approximate a class of generalized α-nonexpansive mapping in Banach spaces. We also prove weak and strong convergence results for the mapping using the AG iterative scheme. An ex...

(This article belongs to the Special Issue Advances in Nonlinear Analysis, Analytic Number Theory, and Mathematical Inequalities)
  • Article
  • Open Access
3 Citations
2,048 Views
11 Pages

Common Fixed Points Theorems for Self-Mappings in Menger PM-Spaces

  • Rale M. Nikolić,
  • Rajandra P. Pant,
  • Vladimir T. Ristić and
  • Aleksandar Šebeković

13 July 2022

The purpose of this paper is to prove that orbital continuity for a pair of self-mappings is a necessary and sufficient condition for the existence and uniqueness of a common fixed point for these mappings defined on Menger PM-spaces with a nonlinear...

  • Article
  • Open Access
21 Citations
4,346 Views
15 Pages

20 June 2018

In this paper, we introduce F-convex contraction via admissible mapping in the sense of Wardowski [Fixed points of a new type of contractive mappings in complete metric spaces. Fixed Point Theory Appl., 94 (2012), 6 pages] which extends convex contra...

(This article belongs to the Special Issue Operators of Fractional Calculus and Their Applications)
  • Article
  • Open Access
123 Citations
4,601 Views
11 Pages

Large Contractions on Quasi-Metric Spaces with an Application to Nonlinear Fractional Differential Equations

  • Erdal Karapınar,
  • Andreea Fulga,
  • Maliha Rashid,
  • Lariab Shahid and
  • Hassen Aydi

In this manuscript, we introduce a new notion: a Berinde type ( α , ψ ) -contraction mapping. Thereafter, we investigate not only the existence, but also the uniqueness of a fixed point of such mappings in the setting of right-comple...

(This article belongs to the Special Issue Applications in Theoretical and Computational Fixed Point Problems)
  • Article
  • Open Access
2 Citations
1,422 Views
23 Pages

10 September 2025

One of the essential parts of contemporary cryptographic systems is s-boxes (Substitution Boxes), which give encryption algorithms more complexity and resilience due to their nonlinear structure. In this study, we propose CSBA (Cuckoo Search–Be...

(This article belongs to the Special Issue Biomimicry for Optimization, Control, and Automation: 3rd Edition)
  • Article
  • Open Access
2 Citations
1,789 Views
13 Pages

Investigation of the F* Algorithm on Strong Pseudocontractive Mappings and Its Application

  • Felix D. Ajibade,
  • Francis Monday Nkwuda,
  • Hussaini Joshua,
  • Taiwo P. Fajusigbe and
  • Kayode Oshinubi

8 November 2023

In the context of uniformly convex Banach space, this paper focuses on examining the strong convergence of the F* iterative algorithm to the fixed point of a strongly pseudocontractive mapping. Furthermore, we demonstrate through numerical methods th...

(This article belongs to the Special Issue Advanced Approximation Techniques and Their Applications)
  • Article
  • Open Access
2 Citations
3,090 Views
13 Pages

Comparison of Algorithms to Compute Relaxation Time Maps in Magnetic Resonance Imaging

  • Ignacio Rodriguez,
  • Jose Luis Izquierdo-Garcia,
  • Ehsan Yazdanparast,
  • David Castejón and
  • Jesús Ruiz-Cabello

23 March 2023

Magnetic resonance imaging (MRI) is a valuable diagnostic tool that provides detailed information about the structure and function of tissues in the human body. In particular, measuring relaxation times, such as T1 and T2, can provide important insig...

(This article belongs to the Section Applied Biosciences and Bioengineering)
  • Article
  • Open Access
124 Citations
7,838 Views
28 Pages

A Novel Hybrid Secure Image Encryption Based on Julia Set of Fractals and 3D Lorenz Chaotic Map

  • Fawad Masood,
  • Jawad Ahmad,
  • Syed Aziz Shah,
  • Sajjad Shaukat Jamal and
  • Iqtadar Hussain

28 February 2020

Chaos-based encryption schemes have attracted many researchers around the world in the digital image security domain. Digital images can be secured using existing chaotic maps, multiple chaotic maps, and several other hybrid dynamic systems that enha...

  • Review
  • Open Access
71 Citations
9,459 Views
58 Pages

Comparison of Chemometric Problems in Food Analysis using Non-Linear Methods

  • Werickson Fortunato de Carvalho Rocha,
  • Charles Bezerra do Prado and
  • Niksa Blonder

Food analysis is a challenging analytical problem, often addressed using sophisticated laboratory methods that produce large data sets. Linear and non-linear multivariate methods can be used to process these types of datasets and to answer questions...

(This article belongs to the Special Issue Chemometrics Tools Used in Analytical Chemistry)
  • Article
  • Open Access
15 Citations
5,227 Views
16 Pages

25 December 2017

A growing number of applications needs GIS mapping information and commercial 3-D roadmaps especially. This paper presents a solution of accessing freely to 3-D map information and updating in the context of transport applications. The method relies...

(This article belongs to the Special Issue Advances in Multi-Sensor Information Fusion: Theory and Applications 2017)
  • Article
  • Open Access
4 Citations
4,239 Views
19 Pages

A Robust Strategy for Large-Size Optical and SAR Image Registration

  • Zeyi Li,
  • Haitao Zhang,
  • Yihang Huang and
  • Haifeng Li

23 June 2022

The traditional template matching strategy of optical and synthetic aperture radar (SAR) is sensitive to the nonlinear transformation between two images. In some cases, the optical and SAR image pairs do not conform to the affine transformation condi...

(This article belongs to the Section Remote Sensing Image Processing)
  • Article
  • Open Access
6 Citations
3,653 Views
15 Pages

Convergence Theorems for Generalized Viscosity Explicit Methods for Nonexpansive Mappings in Banach Spaces and Some Applications

  • Pongsakorn Sunthrayuth,
  • Nuttapol Pakkaranang,
  • Poom Kumam,
  • Phatiphat Thounthong and
  • Prasit Cholamjiak

11 February 2019

In this paper, we introduce a generalized viscosity explicit method (GVEM) for nonexpansive mappings in the setting of Banach spaces and, under some new techniques and mild assumptions on the control conditions, prove some strong convergence theorems...

(This article belongs to the Special Issue Fixed Point Theory and Related Nonlinear Problems with Applications)
  • Article
  • Open Access
15 Citations
5,232 Views
26 Pages

15 September 2023

Aimed at the problems of the Harris Hawks Optimization (HHO) algorithm, including the non-origin symmetric interval update position out-of-bounds rate, low search efficiency, slow convergence speed, and low precision, an Improved Harris Hawks Optimiz...

(This article belongs to the Special Issue Nature-Inspired Computer Algorithms: 2nd Edition)
  • Article
  • Open Access
91 Views
19 Pages

2 November 2026

We study the topological degree for densely defined operators of class (S+) with compact multivalued perturbations. It is assumed that a perturbation can be represented as a sum of two terms: a multivalued mapping which is itself a composition of a c...

(This article belongs to the Special Issue Mathematical Analysis: Theory, Methods and Applications)
  • Article
  • Open Access
98 Citations
9,206 Views
18 Pages

Building ANN-Based Regional Multi-Step-Ahead Flood Inundation Forecast Models

  • Li-Chiu Chang,
  • Mohd Zaki M. Amin,
  • Shun-Nien Yang and
  • Fi-John Chang

19 September 2018

A regional inundation early warning system is crucial to alleviating flood risks and reducing loss of life and property. This study aims to provide real-time multi-step-ahead forecasting of flood inundation maps during storm events for flood early wa...

(This article belongs to the Special Issue Flood Forecasting Using Machine Learning Methods)
  • Article
  • Open Access
1 Citations
1,696 Views
14 Pages

19 September 2023

The nonlinear Kerr effect and chromatic dispersion are the fundamental causes of optical signal degradation in single-mode fiber (SMF) and erbium-doped fiber-amplification (EDFA)-based wavelength division multiplexing (WDM) transmission. Dispersion m...

(This article belongs to the Section Electrical, Electronics and Communications Engineering)

of 61