Special Issue: Applications of Fixed Point Techniques in Fractal Geometry, Chaos Theory, Fractional Calculus, and Real-life Problems
Overview
This Special Issue aims to highlight recent theoretical and applied advances involving fixed point techniques and their role in solving complex problems across fractal geometry, chaos theory, fractional calculus, and real-world systems.
Fixed point theory provides a fundamental mathematical tool to model self-similarity, convergence behavior, memory effects, and nonlinear dynamics that occur in a variety of disciplines. By combining fractal geometry's recursive constructions, chaos theory’s sensitivity, and fractional models’ non-local behaviors, researchers can deepen our understanding of natural and engineered systems.
We invite high-quality original research, review articles, and interdisciplinary papers that use fixed point methods in analyzing nonlinear phenomena in mathematics, physics, computer science, biology, engineering, and economics.
Scope of the Special Issue
This issue will include, but is not limited to:
- Theoretical development of fixed point iterations
- Generalizations and applications of Julia and Mandelbrot sets
- Chaotic dynamical systems and control strategies
- Modeling of complex real-world phenomena using fractional derivatives
- Fractal signal processing and computational techniques
- Applied mathematical approaches to optimization, biomorphs, and cryptography
Suggested Keywords and Thematic Focus
- Fixed point iterations: Picard, Mann, Ishikawa, Jungck-Mann, Noor methods,etc.
- Chaos theory and chaotic maps
- Fractal geometry and generalized Julia/Mandelbrot sets
- Escape-time algorithms and convergence analysis
- Parameter switching and chaos control
- Fractional differential equations with memory effects
- Signal processing, cryptography, and control theory
- t-convexity and generalized convex structures
- Polynomiography and visualization via fixed point iterations
- Noise modeling and stochastic perturbations in fractals
- Evolution and utilization of dynamic noise-perturbed fractals
- Real-life applications of fixed point techniques
Guest Editor
Prof. Anita Tomar
Head, Department of Mathematics
Pt. L. M. S. Campus
Sridev Suman Uttarakhand University
Rishikesh, India
Email: anitatmr@yahoo.com
Biographical Note:
Prof. Anita Tomar
is Professor and Head in the Department of Mathematics at Pt. L.M.S. Campus, Sri Dev Suman Uttarakhand University, Rishikesh, India. Her research spans real and complex dynamics, chaos, fractals, mathematical modelling, and fixed point theory. She has published 101 papers, 15 book chapters, and 3 edited books. Prof. Tomar has delivered talks internationally and across India, and supervised research scholars.
She has served as guest editor for journals like Journal of Function Spaces, Journal of Mathematical Sciences, and Demonstratio Mathematica. Her honors include “Teacher of the Year” (2020), “Leading Women Scientist” (2021), and the “Chief Minister’s Excellence and Good Governance Award” (2022), Excellence in Research Award(2023).
Prof. Tomar is actively engaged in curriculum development under NEP 2020 and holds leadership roles as Director of the Centre of Excellence in Entrepreneurship & Incubation and Faculty Development Centre, along with membership in key university bodies. She is committed to advancing mathematics through research, education, and interdisciplinary collaboration.
Important Dates
Submission Opens: June 15, 2025
Submission Deadline: October 15, 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