Special Issue: Current Progressions of Fixed Points and Fractals with Mathematical Applications

2024-07-24

Many mathematical problems, originating from various branches of science, can be equivalently formulated as fixed point problem, meaning that one has to find a fixed point of some function. Fixed point theorems give sufficient conditions under which there exists a fixed point for a given function and allow us to guarantee the existence of a solution to the original problem. However, many necessary or sufficient conditions for the existence of such points involve a mixture of algebraic, order theoretic, or topological properties of the mapping or its domain. Over the last 50 years or so the theory of fixed points has been exposed as a very powerful and important tool in the study of nonlinear phenomena. Because of the wide range of applications, fixed point theorems are of great interest in diverse fields as biology, chemistry, economics, engineering, physics and many mathematical disciplines like ordinary and partial differential equations, integral equations, system of linear equations, control theory, game theory, category theory, functional equations, well-posedness, approximation theory, theory of critical points etc.

The authors are invited to submit the original, unpublished & research papers on the following topics to this special issue.

Topics include, but are not limited to:

Mathematical Analysis, Nonlinear Analysis, Fixed Point Theory, Generalized Contractions & Non-Expansive Mappings
Fixed Point & Proximal Point Approximations, Best Proximity Point Theorems, Convex Analysis and Hyperconvexity
Set-Valued Analysis, Fractal Analysis, Multifractal Analysis, Fractal Dimensions, Generalized Fractal Dimensions
Self-Similar Sets, Iterated Function Systems, Dynamical Systems
Chaos and Complexity, Fractal Analytics, Multifractal Detrended Fluctuation Analysis
Fractional Calculus, Differential & Integral Equations, Mathematical Methods & Modelling
Self-Similar Graphs & Networks, Image and Signal Analysis, Machine Learning and Artificial Intelligence
Biomedical Applications
The research papers in other fields having mathematical applications related topics are also welcome.

Guest Editors

Dr. D. Easwaramoorthy

Email: easandk@gmail.com

Homepage: https://www.scopus.com/authid/detail.uri?authorId=36138570200

Affiliation: Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, Tamil Nadu, India.

Dr. D. Ramesh Kumar

E-Mail: rameshkumard14@gmail.com; rameshkumar.d@vit.ac.in

Homepage: https://www.scopus.com/authid/detail.uri?authorId=57192700762

Affiliation: Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, Tamil Nadu, India.

Submission information

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Or send it to the email address: wendy@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 wendy@universalwiser.com.