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.
Anita Tomar is 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, focusing on chaos, fractals, mathematical modeling and fixed-point theory. She has contributed significantly to these fields, authoring more than 95 research papers and 10 book chapters, and edited two books titled, Fixed Point Theory and its Applications to Real World Problems and Banach Contraction Principle: A Centurial Journey. In addition to this, she has been actively involved in applied mathematics and the history of mathematics. She has delivered talks in institutions worldwide including Senegal, Turkey, Nepal, Taiwan, Thailand and 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 Demonstration Mathematica.
A reviewer for Mathematical Reviews (AMS), MathSciNet, ZbMATH and Scopus, she is a Life Member of 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, and “Excellence in Research award” in 2023. Beyond her research, she has contributed to syllabus development under the New Education Policy 2020 for universities in Uttarakhand, India, 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, and Interview Boards. She is deeply committed 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, 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 more than 31 publications in leading journals, he is deeply dedicated to advancing mathematics through research, interdisciplinary collaboration and education.
