Special Issue: Contemporary Research in Fixed Point Theory: From Abstract Theory to Infectious Disease Modeling
Overview
In this special issue, our objective is to underline the wonderful development of fixed point theory and its impact in and across different fields. We focus a lot on its contribution to modeling infection diseases, proving that very abstract ideas of mathematics can arise and become important means in understanding and changing the world to the better. With the aid of practice and theory, we want to showcase the flexibility and relevance of the fixed point theory in current science and society in the contemporary world.
This particular volume will encompass a wide variety of original research reports, logical surveys, and outstanding critical reviews based on major issues associated with fixed point theory. Appreciate with us how the classical mathematical theorems stimulate the changes in the scientific and practical environment towards the betterment.
Scope of the Special Issue
This special issue has been prepared to capture the current research scope and depth in fixed point theory. We are open to submissions that challenge the boundaries of the theory and illustrate its applicability in real-world issues. We wish to emphasize the profound structural influence that fixed point theory has in modern day mathematics and its myriad of applications by showcasing some of its theoretical foundations and practical applications.
Topics Invited and Relevant Keywords
Our primary focus in this special issue will be on the following topics:
1. Fixed Point Theorems and Their Generalizations
Mathematical analysis advances through classical and modern fixed point results which find uses in nonlinear problems and dynamical systems. In this section we study foundational theorems alongside their modern extensions.
2. Fixed Point Theory in Infectious Disease Modeling
Fixed point methods allow researchers to evaluate disease equilibria while simulating outbreak patterns and assessing intervention effectiveness. Mathematical frameworks provide these tools which predict and control epidemic outbreaks.
3. Iterated Function Systems and Fractal Geometry
Iterated function systems rely on fixed point theory to create fractals. Our research includes theoretical analysis and practical applications within computer graphics and natural phenomena with their applications in design and textile industries.
4. Best Proximity Results, Optimization, Dynamical Systems, and Game Theory
Fixed points solve optimization problems and multi-agent decision problems such as variational inequalities and Nash equilibria. This section will cater to the application of theoretical concepts into practical issues in economics and dynamical systems.
5. Applications of Fixed Point Theory in Differential and Integral Equations
Fixed point methods offer existence and uniqueness results for nonlinear equations. Fixed point theory aids in the boundary value problems and also facilitates the formulation of models in terms of physical laws.
6. Topological Methods in Fixed Point Theory
Theoretical tools that come from topology help improve compactness and convergence for fixed point theory. We study their role in the analysis of nonlinear operators in various mathematical models.
7. Numerical Methods for Fixed Point Problems
Fixed points obtained by iterative algorithms are beneficial for practical cases. Researchers focus on convergence analysis and solving complex systems of equations for efficient solutions.
8. Fixed Point Theory in Image Processing and Behavioral Science
Fixed point techniques have applications in image processing, as well as, in behavioral analysis. This section demonstrates how far reaching the theory is.
Guest Editor
Prof. Dr. Pradip Debnath
Associate Professor, Department of Mathematical Sciences, Tezpur University, India.
Email: debnath.pradip@yahoo.com/pradip@tezu.ernet.in
Prof. Dr. Hassen Aydi
Associate Professor, University of Sousse, Tunisia.
Email: hassen.aydi@isima.rnu.tn
Prof. Dr. Donal O’Regan
Professor, School of Mathematical and Statistical Sciences, University of Galway, Ireland.
Email: doanl.oregan@universityofgalway.ie
Biographical Note:
Pradip Debnath
is an Associate Professor in the Department of Mathematical Sciences at Tezpur University, India. He featured in the World’s Top 2% Scientists List prepared by Stanford University and published by Elsevier for the consecutive years 2023 and 2024. He was also an Associate Editor of the journal “Heliyon” (Mathematics section), published by Elsevier. He is an active Editorial Board Member of multiple journals such as Scientific Reports, Research in Mathematics, PLOS ONE, TWMS Journal of Applied and Engineering Mathematics etc. He was previously an Assistant Professor (in Mathematics) at the Department of Applied Science and Humanities, Assam University, Silchar (a central university), India. Prior to that he was working as an Assistant Professor in the Department of Mathematics at the North Eastern Regional Institute of Science and Technology (NERIST), India. He earned his Ph.D. in Mathematics from the National Institute of Technology Silchar, India. His research interests include fixed point theory, functional analysis, soft computing and mathematical statistics. He has published more than 70 papers in various journals of international repute and is an active reviewer for more than 65 international journals. He has reviewed more than 450 journal papers. He is also a reviewer for Mathematical Reviews published by the American Mathematical Society. He has published 10 books as the lead editor with publishers like Springer, CRC Press, De Gruyter and World Scientific. Dr. Debnath has worked in collaboration with leading mathematicians worldwide such as from countries like Canada, Serbia, Portugal, South Korea, Thailand, Saudi Arabia, Iran, Spain, Tunisia etc. He is a topical advisory panel member of the journals Axioms and Fractal and Fractional and guest editor of several special issues for different journals such as Axioms and Symmetry. He has successfully guided Ph.D. students in the areas of nonlinear analysis, soft computing and fixed point theory. He has completed a major Basic Science Research Project in fixed point theory funded by the UGC, the Government of India. Having been an academic gold medalist during his post-graduation studies from Assam University, Silchar, Dr. Debnath has qualified several national-level examinations in mathematics in India.
Hassen Aydi
received his M.S degree from University of Paris 6 (Pierre et Marie Curie, France) and his PhD from University of Paris 12 (Val de Marne, France), in 2001 and 2004, respectively. He was assistant professor since 2005 in University of Monastir (Tunisia). He is currently Associate Professor since January 2013 in University of Sousse (Tunisia). He is the author of several research papers, more than 405 papers. His research interests include Ginzburg-Landau model, Nonlinear Analysis, Magnetic vorticity, Fixed point theory, Best proximity point theory. He is associate editor and guest editor for some special issues in different international journals. He reviewed more than 200 research papers in reputed journals. He was highly cited researcher for four years: 2015-2016-2017 and 2018, data collected from Clarivate Analytics. Moreover, he is currently in the list of the top 2% researchers, data collected by Stanford University for the years 2020-2021-2022-2023 and 2024. The current h-index is 56 and the i10 index is 215, following the data of Google Scholars.
Donal O’Regan
is a professor of Mathematics at the School of Mathematical and Statistical Sciences, University of Galway, Ireland. His research interest is in Nonlinear Functional Analysis and its applications. He is the author of more than 1700 mathematical papers and over 20 books. He serves on the editorial board of many mathematical journals including Applicable Analysis (Taylor & Francis) and the International Journal of Management Science and Engineering Management (Tayler & Francis).
Important Dates
Submission Opens: June 05, 2025
Submissions should present original and high-quality research that is not currently under review elsewhere. All manuscripts will undergo a rigorous double-blind peer review process. Previously published conference papers must be substantially extended and clearly identified during submission.
Submission Information
Submit it online: http://ojs.wiserpub.com/index.php/CM/user/register
Or send it to the email address: flory@universalwiser.com
Submission Guideline
https://ojs.wiserpub.com/index.php/CM/about/submissions
For any inquiries about this Special Issue, please contact the Editors via flory@universalwiser.com