Special Issue "Fixed Point Theory and Dynamical Systems with Applications"

A special issue of Mathematics (ISSN 2227-7390).

Deadline for manuscript submissions: 31 January 2020

Special Issue Editors

Guest Editor
Prof. Dr. Wei-Shih Du

Department of Mathematics, National Kaohsiung Normal University, Kaohsiung, 82444, Taiwan
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Interests: nonlinear analysis and its applications; fixed point theory; variational principles and inequalities; optimization theory; equilibrium problems
Guest Editor
Prof. Dr. Chung-Chuan Chen

Department of Mathematics Education, National Taichung University of Education, Taichung 403, Taiwan
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Guest Editor
Prof. Dr. Marko Kostić

Faculty of Technical Sciences, University of Novi Sad, Trg D. Obradovića 6, 21125 Novi Sad, Serbia
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Guest Editor
Prof. Dr. Bessem Samet

Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia
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Special Issue Information

Dear Colleagues,

Since the celebrated Brouwer’s fixed point theorem and Banach contraction principle were established, the rapid growth of fixed point theory and its applications during the past more than a hundred years have led to a number of scholarly essays that study the importance of its promotion and application in nonlinear analysis, applied mathematical analysis, economics, game theory, integral and differential equations and inclusions, dynamic systems theory, signal and image processing, and so forth. Many authors devoted their attention to investigating generalizations in various different directions of the well-known fixed point theorems. Recent important investigations and developments in fixed point theory have been focused on putting fundamental sciences into the real world.

Dynamical systems, developed initially from the work of Jay W. Forrester, focused on industrial dynamics. During the previous more than six decades, important contributions to the improvement of our understanding of the real world around us have been made in various domains, such as economics, financial markets, environment, human behavior, strategic decision-making, information and knowledge management, public policy, highway transportation networks, telecommunication networks, immunological systems, computational systems, and electrical and mechanical structures. About three decades ago, linear dynamics and chaos started to attract a lot of attention, and fruitful results appeared. Nowadays, dynamical systems have already been developed and applied by policy-makers, academicians, educators, and managers in many areas of natural sciences, social sciences, engineering, and mathematical sciences.

We cordially and earnestly invite researchers to contribute their original and high-quality research papers which will inspire advances in fixed point theory, dynamical systems, and their applications. Potential topics include, but are not limited to:

  • Fixed point theory in various abstract spaces with applications
  • Best proximity point theory in various abstract spaces with applications
  • Algorithms for fixed points and best proximity points
  • Nonlinear differential and integral equations via fixed point theory approaches
  • Optimization problems via fixed point theory approaches
  • Well-posedness and control in fixed point theory and dynamical systems
  • Nonlinear and linear dynamical systems
  • Advanced control systems
  • Nonlinear waves and acoustics
  • Image and signal processing
  • Biological systems and bioinformatics

Prof. Dr. Wei-Shih Du
Prof. Dr. Chung-Chuan Chen
Prof. Dr. Marko Kostić
Prof. Dr. Bessem Samet
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All papers will be peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Mathematics is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 850 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • Fixed point theory
  • Best proximity point theory
  • Geometry of Banach spaces
  • Algorithm
  • Stability of functional equations
  • Nonlinear and linear dynamical systems
  • Control system
  • Image and signal processing
  • Biological systems and bioinformatics

Published Papers (2 papers)

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Research

Open AccessArticle
Generalized (ψ,α,β)—Weak Contractions for Initial Value Problems
Mathematics 2019, 7(3), 266; https://doi.org/10.3390/math7030266
Received: 5 February 2019 / Revised: 1 March 2019 / Accepted: 5 March 2019 / Published: 15 March 2019
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Abstract
A class of generalized (ψ,α,β)—weak contraction is introduced and some fixed-point theorems in a framework of partially ordered metric spaces are proved. The main result of this paper is applied to a first-order ordinary differential equation [...] Read more.
A class of generalized ( ψ , α , β ) —weak contraction is introduced and some fixed-point theorems in a framework of partially ordered metric spaces are proved. The main result of this paper is applied to a first-order ordinary differential equation to find its solution. Full article
(This article belongs to the Special Issue Fixed Point Theory and Dynamical Systems with Applications)
Open AccessArticle
A New Family of Chaotic Systems with Different Closed Curve Equilibrium
Mathematics 2019, 7(1), 94; https://doi.org/10.3390/math7010094
Received: 23 December 2018 / Revised: 14 January 2019 / Accepted: 14 January 2019 / Published: 17 January 2019
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Abstract
Chaotic systems with hidden attractors, infinite number of equilibrium points and different closed curve equilibrium have received much attention in the past six years. In this work, we introduce a new family of chaotic systems with different closed curve equilibrium. Using the methods [...] Read more.
Chaotic systems with hidden attractors, infinite number of equilibrium points and different closed curve equilibrium have received much attention in the past six years. In this work, we introduce a new family of chaotic systems with different closed curve equilibrium. Using the methods of equilibrium points, phase portraits, maximal Lyapunov exponents, Kaplan–Yorke dimension, and eigenvalues, we analyze the dynamical properties of the proposed systems and extend the general knowledge of such systems. Full article
(This article belongs to the Special Issue Fixed Point Theory and Dynamical Systems with Applications)
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