Banach Contraction Principle: A Centurial Journey

Author:   Anita Tomar ,  Manish Jain
Publisher:   Springer Nature Switzerland AG
ISBN:  

9789819648467


Pages:   470
Publication Date:   12 August 2025
Format:   Hardback
Availability:   Manufactured on demand   Availability explained
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Banach Contraction Principle: A Centurial Journey


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Author:   Anita Tomar ,  Manish Jain
Publisher:   Springer Nature Switzerland AG
Imprint:   Springer Nature Switzerland AG
ISBN:  

9789819648467


ISBN 10:   9819648467
Pages:   470
Publication Date:   12 August 2025
Audience:   Professional and scholarly ,  College/higher education ,  Professional & Vocational ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

Common fixed point for pairs of Weakly compatible mappings using F-contraction.- Coincidence points of mappings on relational metric Spaces with applications.- Some fixed point result in m-metric space using different contractions.- Application of common fixed point in the framework of b-metric space via simulation function.- Relation-theoretic fixed point results in extended Rectangular mrξ-metric spaces.- Julia fractals of complex-valued cosine functions via fixed point iterations.- Some fixed-circle results with mix-type contractions on metric spaces.- Application of fixed point iterations in generation of fractals for higher-order complex polynomial.- Rational type fixed-disc and common fixed-disc results on metric and s-metric spaces via Geraghty type contractions.- Coupled Fixed Points in Ordered Fuzzy Metric Spaces and an Elastic Beam Problem.- Data Dependence, Stability and Convergence Rate of Novel Iterative Algorithm.- A New Generalization of Metric Space and Banach Contraction Principle.- Trajectory and Exact Controllability results on Impulsive Nonlocal Differential System with Deviated Argument.- Banach contraction in Altering JS-metric space to decipher aggregate voltage of electric circuit.- Common fixed point for families of weakly subsequentially continuous mappings.

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Author Information

Anita Tomar is Professor and Head of the Department of Mathematics at Pt. L.M.S. Campus of Sri Dev Suman Uttarakhand University, Rishikesh, Uttrakhand, India. Specializing in fixed-point theory, she has authored/coauthored 95 research publications, 10 textbooks, 10 book chapters and an edited book titled Fixed Point Theory and its Applications to Real World Problems. She has delivered talks internationally and supervised two research scholars. She has served as a guest editor for special issues in the Journal of Function Spaces, Demonstratio Mathematica and the Journal of Mathematical Sciences. She is a reviewer for Mathematical Reviews (AMS) and has reviewed numerous papers indexed in MathSciNet, ZbMATH and Scopus.   A life member of the Indian Mathematical Society and Indian Society for History of Mathematics, she has received several awards and recognition, such as the “Teacher of the Year” (2020), “Leading Women Scientist” (2021), the “Chief Minister Excellence and Good Governance Award” (2022) and the “Excellence in Research” (2023) award. In addition to research, she has contributed to syllabus development under the NEP 2020 for Uttarakhand universities and actively participates in both academic and administrative roles in the university. She is deeply dedicated to advancing mathematics through innovative research, fostering interdisciplinary collaboration and promoting excellence in education.   Manish Jain is Assistant Professor in the Department of Mathematics at Ahir College, Rewari, Haryana, India. He is Fellow of the Institute of Mathematics and Its Applications (FIMA), UK, and has been recognized as a Friend of OWSD, an international organization under UNESCO. An accomplished researcher in pure and applied mathematics, he specializes in real analysis, functional analysis and fixed-point theory. He has served as a reviewer for several publications and has delivered talks at various conferences. With over 31 publications in leading journals, he is deeply dedicated to advancing mathematics through research, interdisciplinary collaboration and education.

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