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This contributed volume contains chapters on various fixed-point theorems, including those in metric, b-metric and partial metric spaces. The book addresses the need for rigorous analytical methods in optimization, computational mathematics and applied sciences. By offering innovative solutions through iterative schemes and contraction principles, it bridges the gap between abstract mathematical principles and practical problem-solving approaches. The concept of fixed points has deep mathematical significance, influencing both theoretical frameworks and real-world applications. The book highlights the applications of fixed-point theory, presenting fundamental concepts and modern advancements, in diverse fields such as traffic control systems, stock market analysis, iterative algorithms and differential equations.
List of contents
Handling Chaos and Improving the Traffic Control System.- Unlocking Stock Market Dynamics An Application of Fixed Point Theory with Moving Averages and Technical Analysis.- A Symmetric Contraction In and Coupled Coincidence Points.- On S Polynomial Type Contractions in S-Metric Spaces and Fixed Point Results.- Common Fixed Points for Asymptotically Regular Kannan Lipschitzian Semigroup in the Variable Exponent Sequence Spaces.- General Common Fixed Point Results in b Metric Space and Applications.- SPK Iterative Algorithm for Monotone Nonexpansive Mappings Convergence and Applications.- Probabilistic Contraction Result Involving Functionals in Menger Space and Heat Equation.- Common Fixed Point Theorems of Type Weak Contractions in Cone b Metric Spaces with an Application.- Fixed Points of Closed Graph Operators on Partial Metric Spaces.- Some Common Fixed Point Theorems for Hardy Rogers Type Contraction in Complete Cone b Metric Spaces.- Generalized Weak Integral Contractive Condition with an Application.- Advancements in the Banach Contraction Principle within Metric Spaces.- Admissible Mappings with Implicit Relations in Metric Spaces.- New Fixed Point Results with Hybrid Interpolative Reich Istratescu Type Contractions on S Metric Spaces.- On Fixed Points of qsp qsp Hybrid Contraction in b Metric Spaces.- Best Proximity Points Theorems of Generalized Proximal Contractive Mappings with Applications.
About the author
Anita Tomar is the Professor and Head of the Department of Mathematics at Pt. L.M.S. Campus, Sri Dev Suman Uttarakhand University, Rishikesh. Her research interests encompass real and complex dynamics, with a focus on chaos, fractals, mathematical modeling, and fixed-point theory. She has contributed significantly to these fields, authoring 105 research papers and 15 book chapters, and edited books titled "
Fixed Point Theory & its Applications to Real World Problems
", Adhunik Pridrishya Me Bharatiya Prachiya Gyaan Sampada (
Connecting Ancient Indian Wisdom in Modern Contexts
)(Set of 2 Vol), and “
Banach Contraction Principle: A Centurial Journey
” . Additionally, Prof. Tomar has been actively involved in applied mathematics and the history of mathematics. She has delivered talks in various countries, including
Senegal, Turkey, Nepal, Taiwan, and Thailand
, as well as across India. She has supervised 2 research scholars, co-authored textbooks, and served as a guest editor for special issues in journals such as the Journal of Function Spaces, Journal of Mathematical Sciences and Demonstratio Mathematica.
Prof. Tomar is also a reviewer for Mathematical Reviews (AMS) and has reviewed numerous papers indexed in MathSciNet, ZbMATH, and Scopus. She holds life memberships in the Indian Mathematical Society and the Indian Society for History of Mathematics. Her accolades include the "
Teacher of the Year
" award in 2020, the "
Leading Women Scientist
" award in 2021, and the "
Chief Minister's Excellence and Good Governance Award
" in 2022, “
Excellence in Research award
” in 2023,
Distinguished Service Award in 2025,
Best Project Award
2025.
Beyond her research, Prof. Tomar has contributed to syllabus development under NEP 2020 for universities in Uttarakhand and actively participates in both academic and administrative roles. She serves on several key university bodies, including the Director, Centre of Excellence in Entrepreneurship and Incubation, Director, Faculty Development Centre, Executive Council, Academic Council, Board of Studies, Research Degree Committee (RDC), and Interview Boards. She holds life memberships in the
Indian Mathematical Society
and the
Indian Society for History of Mathematics,
Vijñāna Parishad of India
.
She is deeply committed to advancing mathematics through innovative research, fostering interdisciplinary collaboration, and promoting excellence in education.
Summary
This contributed volume contains chapters on various fixed-point theorems, including those in metric,
b
-metric and partial metric spaces. The book addresses the need for rigorous analytical methods in optimization, computational mathematics and applied sciences. By offering innovative solutions through iterative schemes and contraction principles, it bridges the gap between abstract mathematical principles and practical problem-solving approaches. The concept of fixed points has deep mathematical significance, influencing both theoretical frameworks and real-world applications. The book highlights the applications of fixed-point theory, presenting fundamental concepts and modern advancements, in diverse fields such as traffic control systems, stock market analysis, iterative algorithms and differential equations.
