3,363 Results Found

The study of the evolution process of our visual system indicates the existence of variational spatial arrangement; from densely hexagonal in the fovea to a sparse circular structure in the peripheral retina. Today’s sensor spatial arrangement...

In this paper, we obtain an equivalent condition to the existence of a common fixed point of a given family of nonexpansive mappings defined on a Hadamard space. Moreover, if the space is bounded, we show that the generating process of the approximat...

Coupled fixed points have become the focus of interest in recent times, especially for their potential applications. Very recently, the idea of common coupled fixed point iterations has been introduced for approximating common coupled fixed points in...

Sketch-based 3D model retrieval has become an important research topic in many applications, such as computer graphics and computer-aided design. Although sketches and 3D models have huge interdomain visual perception discrepancies, and sketches of t...

The aim of this study is to prove the existence and uniqueness of fixed point and common fixed point theorems for self-mappings in modular ultrametric spaces. These theorems are proved under varying contractive circumstances and without the property...

A modular multilevel converter (MMC) can generate different common-mode voltage (CMV) values due to the high-frequency changing of the switching state under various modulation strategies. The high-frequency dv/dt will produce common-mode current in t...

This study presents a common fixed-point iteration process that includes two asymptotically nonexpansive self-mappings in a hyperbolic space and their delta convergence. To support our results, we provide an example with a comparison table and suffic...

In this paper, we introduce the notion of bicomplex partial metric space and prove some common fixed point theorems. The presented results generalize and expand some of the literature’s well-known results. An example and application on bicomplex part...

The main aim of the paper is to find a control method for a multilevel matrix converter (MMC) that enables the elimination of common mode voltage (CMV). The method discussed in the paper is based on a selection of converter configurations and the ins...

Suitable space vector modulation (SVM) with reduced high-frequency common-mode voltages (HF-CMVs) for grid-connected current-source inverters (CSIs) have not been well investigated yet. In this study, the potential of active zero-state SVM (AZS-SVM)...

Nowadays, transformer-less photovoltaic (PV) multi-level inverters (MLIs) are commonly employed in both industrial and residential settings. This structure has attracted increased attention due to its unique advantages, such as higher efficiency, low...

We propose the so-called fuzzy semi-metric space in which the symmetric condition is not assumed to be satisfied. In this case, there are four kinds of triangle inequalities that should be considered. The purpose of this paper is to study the common...

In contemporary society, multi-commercial complexes have been developed in various ways according to the circumstances and historical situation of different cities with a vision to implement sustainability. Design direction centered on public and com...

In this paper, we present some results on the existence and uniqueness of common fixed points on $d^{*}$-complete topological spaces. Our results generalize and improve upon earlier results in the literature. Finally, we give some examples in $l_p$ spaces, $($...

In this paper, we study the generalized F-iterated function system in G-metric space. Several results of common attractors of generalized iterated function systems obtained by using generalized F-Hutchinson operators are also established. We prove th...

In this research paper, we concentrate on the existence and uniqueness of common fixed points of various mappings in $b_2$ metric space under generalized ${(\varphi ,f)}_{\lambda }$-expansive conditions and implicit contractive conditions. Additionally, we deriv...

In this paper, we present a Jungck type common fixed point result in extended rectangular b-metric spaces. We also give some examples and a known common fixed point theorem in extended b-metric spaces.

This paper investigates the common coupled coincidence points and common coupled fixed points in fuzzy semi-metric spaces. The symmetric condition is not necessarily satisfied in fuzzy semi-metric space. Therefore, four kinds of triangle inequalities...

This paper investigates the existence of common attractors for generalized $\theta$-Hutchinson operators within the framework of partial metric spaces. Utilizing a finite iterated function system composed of $\theta$-contractive mappings, we establish...

In the present paper, we pointed out that there is a gap in the proof of the main result of Rouzkard et al. (The Bulletin of the Belgian Mathematical Society 2012). Then after, utilizing the concept of (E.A.) property in convex metric space, we obtai...

In this paper, we introduce three classes of proximal contractions that are called the proximally $\lambda -\psi -$dominated contractions, generalized ${\eta }_{\beta }^{\gamma }-$proximal contractions and Berinde-type weak proximal contraction...

In this paper, we establish a result for the existence of common fixed points for multi-valued mappings, satisfying some contractions for complex-valued b-metric spaces. Finally, we present an example to illustrate and support our results.

The purpose of this research work is to explore the solution of the Fredholm integral equation by common fixed point results in bicomplex valued metric spaces. In this way, we develop some common fixed point theorems for generalized contractions cont...

In this paper, we prove common fixed point theorems for a pair of self-mappings in the framework of $R_{mb}$-metric spaces. We also deduce some corollaries of our main result. In order to support our main result, we also set an example.

The aim of the present research article is to solve the system of linear equations using common fixed point theorems in the context of bicomplex valued metric spaces. To obtain our main objective, we introduce generalized contractive conditions in bi...

In this article, we proposed the concept of cone interval b-metric space over Banach algebras. Furthermore, some near-fixed point and near-common fixed point results are proved in the context of cone interval b-metric space and normed interval spaces...

The purpose of this paper is to establish common fixed points of six mappings in the context of bicomplex valued metric spaces. In this way, we generalize some previous well-known results from the literature. Moreover, we provide a non-trivial exampl...

Owing to the notion of a complex-valued metric space, we prove fixed point results, which generalize some common fixed point results under contractive condition for rational expression in the context of complex-valued metric spaces. In application, w...

In this work, we study some basic properties of the set of common attractive points and prove strong convergence results for common attractive points of two generalized nonexpansive mappings in a uniformly convex Banach space. As a consequence, we ob...

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...

Our paper is devoted to the issue of the existence and uniqueness of common fixed points for two mappings in complete b-metric spaces by virtue of the new functions F and $\theta$, respectively. Moreover, two specific examples to indicate the validity...

We study some common results in C*-algebra-valued $S_b$-metric spaces. We also present an interesting application of an existing and unique result for one type of integral equation.

In the present paper, we prove common fixed point theorems under different contractive mappings on ${\mathbb{C}}^{★}$-algebra-valued bipolar metric spaces. The results generalize and expand some well-known results from the literature. Examples and applications are g...

The objective of this article is to establish common fixed point results in the background of complex-valued controlled metric spaces for generalized rational contractions. Our findings generalize a number of well-established results in the literatur...

In this article, we give the sharp bounds of probabilistic Kolmogorov $\left(N,\delta \right)$-widths and probabilistic linear $\left(N,\delta \right)$-widths of the multivariate Sobolev space $W_2^A$ with common smoothness on a $S_q$ norm equipped with the Gaussian measure $\mu$, where...

In this paper, we prove the existence and uniqueness of common fixed point of tower type contractive mappings in complete metric (pseudo)modular spaces involving the theoretic relation. However, the newly introduced contraction in this paper further...

In this work, we study iterative methods for the approximation of common attractive points of two widely more generalized hybrid mappings in Hilbert spaces and obtain weak and strong convergence theorems without assuming the closedness for the domain...

The Fourth Industrial Revolution has reshaped shared spaces in higher education, with manufacturing labs (Fab Labs) emerging as vital hubs for collaboration. However, a systematic framework for ensuring their long-term sustainability as shared resour...

The aim of this paper is to establish the existence of some common fixed point results for generalized Geraghty $(\alpha ,\psi ,\varphi )$ -quasi contraction self-mapping in partially ordered metric-like spaces. We display an example and an appli...

In this paper, we obtain the results of coincidence and common fixed points in b-metric spaces. We work with a new type of multivalued quasi-contractive mapping with nonlinear comparison functions. Our results generalize and improve several recent re...

The aim of this research article is to introduce generalized rational contractions in the context of complex-valued metric spaces and to establish novel common fixed-point theorems. Our findings generalize several well-known fixed-point theorems and...

The aim of this paper is to derive some common best proximity point results in partial metric spaces defining a new class of symmetric mappings, which is a generalization of cyclic ϕ-contraction mappings. With the help of these symmetric mappings, th...

In this article, we define a new class of noncommuting self mappings known as the S-operator pair. Also, we provide the existence and uniqueness of common fixed point results involving the S-operator pair satisfying the $(F,\phi ,\psi ,Z)$-contractive...

In this paper, we present a new self-adaptive inertial projection method for solving split common null point problems in p-uniformly convex and uniformly smooth Banach spaces. The algorithm is designed such that its convergence does not require prior...

The objective of this paper is to obtain new relation-theoretic coincidence and common fixed point results for some mappings F and g via hybrid contractions and auxiliary functions in extended rectangular b-metric spaces, which improve the existing r...

In this paper, we modify various contractive conditions (C.C.)s such as Ciric type (C.C.), Rhoades type (C.C.), Seghal type (C.C.), Bianchini type (C.C.), and Berinde type (C.C.) for two self-mappings, considering that the contractive property plays...

In this paper we give some common fixed point theorems for Ćirić type operators in complex valued b-metric spaces. Also, some corollaries under this contraction condition are obtained. Our results extend and generalize the results of Hammad et al. In...

Leaf functional traits are an important part of plant adaptive strategies and respond differently to different environments, but our understanding of how plants adapt to highly complex urban environments through coordinated changes in leaf functional...

This paper is about deriving the necessary and sufficient conditions of a surface family pair with a Bertrand pair as common geodesic curves in Galilean 3-space ${\mathbb{G}}_3$. Thereafter, the consequence for the ruled surface family pair is also deduced. Meanwh...

We have introduced the new notions of R-weakly graph preserving and R-weakly $\alpha$ -admissible pair of multivalued mappings which includes the class of graph preserving mappings, weak graph preserving mappings as well as $\alpha$ -admissible mappings...