Applications of Fixed-Point Theorem

Extending Classical Results to Modern Frameworks
Erscheinungsjahr 2026
ISBN: 978-981-955159-0
Verlag: Springer

Buch, Englisch, 348 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 762 g

Reihe: Industrial and Applied Mathematics

This contributed volume contains chapters on various fixed-point theorems, including those in metric,  -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.

Zielgruppe

Research

Autoren/Hrsg.

Tomar, Anita

Jain, Manish

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Optimierung
• Mathematik | Informatik Mathematik Mathematische Analysis
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle

Inhaltsverzeichnis

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  Polynomial Type Contractions in -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  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 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  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  Metric Spaces.- On Fixed Points of   Hybrid Contraction in b Metric Spaces.- Best Proximity Points Theorems of Generalized Proximal Contractive Mappings with Applications.

Über Autor(innen)

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 " ", Adhunik Pridrishya Me Bharatiya Prachiya Gyaan Sampada ( )(Set of 2 Vol), and “ ” . Additionally, Prof. Tomar has been actively involved in applied mathematics and the history of mathematics. She has delivered talks in various countries, including  , 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. Her accolades include the " " award in 2020, the " " award in 2021, and the " " in 2022, “ ” in 2023,     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,   Vijñana Parishad of India . 

She is deeply committed to advancing mathematics through innovative research, fostering interdisciplinary collaboration, and promoting excellence in education.

Manish Jain , FIMA (UK) and recognized as a Friend of OWSD (UNESCO), is Assistant Professor in the Department of Mathematics at Ahir College, Rewari, Haryana, India. He is a distinguished mathematician whose scholarly expertise in real analysis, functional analysis and fixed point theory, with far-reaching implications for both pure and applied mathematics. His research is characterized by conceptual depth and practical relevance, bridging abstract theory with contemporary scientific challenges. He has contributed to the global mathematical community in editorial capacities for several leading international journals, including the . His academic influence extends beyond publications, marked by invited keynote addresses at prestigious international forums in China and active participation in major academic events across Turkey, South Africa, Argentina and India.

With more than 30 research publications in reputed international journals, he continues to advance the frontiers of mathematical sciences through innovative inquiry, interdisciplinary collaboration and a sustained commitment to pedagogical excellence. His recent editorial endeavor in reflects his deep engagement with foundational mathematical principles and their evolving applications in modern science. A recipient of the Best Researcher Award (National Faculty Award 2023–24), he holds lifetime membership of the Indian Mathematical Society and is a member of the International Society for Fuzzy Set Extensions and Applications. He has also played an instrumental role in strengthening the academic ecosystem by serving on the organizing committees of numerous national and international conferences.