Fixed Point Theory and Functional Analysis: Metric Spaces, Banach Spaces, Hilbert Spaces

This book aims to highlight the latest developments in fixed point theory and functional analysis by presenting insights from renowned scientists, physicists, and mathematicians worldwide.

The book offers a comprehensive overview of the latest advancements in the field, featuring original contributions and surveys. Readers will find a wealth of useful tools and techniques to deepen their understanding of recent advances in mathematical and functional analysis, as well as their applications in physics and engineering. Each chapter highlights new research avenues, making this book an ideal resource for graduate students, faculty, and researchers seeking to expand their knowledge of fixed point theory and functional analysis, as well as their practical applications. The computational aspects in Banach and Hilbert spaces are well explored. Only a basic knowledge of analysis, topology, basic computation, and functional analysis is required to fully appreciate the material.

Pradip Debnath is an Associate Professor in the Department of Mathematical Sciences at Tezpur University, India. He featured in the World’s Top 2% Scientists List prepared by Stanford University and published by Elsevier for the consecutive years 2023 and 2024. He is also an Associate Editor of the journal “Heliyon” (Mathematics section), published by Elsevier. He was previously an Assistant Professor (in Mathematics) at the Department of Applied Science and Humanities, Assam University, Silchar (a central university), India. Prior to that he was working as an Assistant Professor in the Department of Mathematics at the North Eastern Regional Institute of Science and Technology (NERIST), India. He earned his Ph.D. in Mathematics from the National Institute of Technology Silchar, India. His research interests include fixed point theory, functional analysis, soft computing and mathematical statistics. He has published more than 70 papers in various journals of international repute and is an active reviewer for more than 65 international journals. He has reviewed more than 400 journal papers. He is also a reviewer for Mathematical Reviews published by the American Mathematical Society. He has published 9 books as the lead editor with publishers like Springer, CRC Press and World Scientific. Dr. Debnath has worked in collaboration with leading mathematicians worldwide such as from countries like Canada, Serbia, Portugal, South Korea, Thailand, Saudi Arabia, Iran, Spain, Tunisia etc. He is a topical advisory panel member of the journals Axioms and Fractal and Fractional and guest editor of several special issues for different journals. 

Hari M. Srivastava is Professor Emeritus at the Department of Mathematics and Statistics, University of Victoria, Canada. He has been a Clarivate Analytics (Thomson-Reuters) Highly Cited Researcher for the years 2015, 2017, 2018, and 2020. He has also been listed and ranked in sixth place in General Mathematics among the Top 2% Scientists in the World in 2021, 2022, 2023, 2024 (published by Stanford University in the US). In fact, it is not possible to list all of his tremendous academic achievements in just a few sentences. The details of the same may be found on his regularly updated website www.math.uvic.ca/harimsri/.

Yeol Je Cho is Emeritus Professor at the Department of Mathematics Education, Gyeongsang National University, Jinju, Korea, and Distinguished Professor at the School of Mathematical Sciences, the University of Electronic Science and Technology of China, Chengdu, Sichuan, China. In 1984, he received his Ph.D. in Mathematics from Pusan National University, Pusan, Korea. He has been a fellow of the Korean Academy of Science and Technology, Seoul, Korea, since 2006, and a member of several mathematical societies. He has organized international conferences on nonlinear functional analysis and applications, fixed point theory and applications and workshops and symposiums on nonlinear analysis and applications. He has published over 400 papers, 20 monographs and 12 books with renowned publishers from around the world. His research areas are nonlinear analysis and applications, especially fixed point theory and applications, some kinds of nonlinear problems, that is, equilibrium problems, variational inequality problems, saddle point problems, optimization problems, inequality theory and applications, stability of functional equations and applications. He has delivered several invited talks at international conferences on nonlinear analysis and applications and is on the editorial boards of 10 international journals of mathematics.