Advances in Functional Analysis and Fixed-Point Theory

This book presents a curated selection of recent research in functional analysis and fixed-point theory, exploring their applications in interdisciplinary fields. The primary objective is to establish a connection between the latest developments in functional analysis and fixed-point theory and the broader interdisciplinary research landscape. By doing so, this book aims to address the needs of researchers and experts seeking to stay up-to-date with the cutting-edge research trends in functional analysis, fixed-point theory and related areas. It also aims to pave the way for applying functional analysis and fixed-point theory to solve interdisciplinary problems in various domains, including but not limited to fractional calculus, integral equations, queuing theory, convex analysis, harmonic analysis and wavelet analysis.

Collects select chapters on functional analysis and fixed-point theory and their interdisciplinary applications Discusses theoretical and application-oriented cutting-edge research in functional analysis and fixed-point theory Introduces topics on spectrum continuity, best proximity point, infinite programming, and Kohlenbach hyperbolic spaces

Auteur

Bipan Hazarika is a Professor of Department of Mathematics, Gauhati University, Guwahati, Assam. Earlier, he worked at Rajiv Gandhi University, Arunachal Pradesh, India from 2005 to 2017. He was Professor at Rajiv Gandhi University up to 2017. He received an M.Sc. and Ph.D. from Gauhati University, Guwahati, India. His main research areas are sequences spaces, summability theory, applications of fixed point theory and measure of noncompactness, fuzzy analysis, and non-absolute integrable function spaces. He published more than 190 research articles in several renowned international journals. He is a regular reviewer of more than 50 different journals published by Springer, Elsevier, Taylor and Francis, Wiley, IOS Press, World Scientific, American Mathematical Society, IEEE, De Gruyter, etc. He published books on Differential Equations, Differential Calculus and Integral Calculus. Recently he edited following books: "Sequence Spaces Theory and Applications, Chapman and Hall/CRC" and "Fixed Point Theory and Fractional Calculus: Recent Advances and Applications, Springer", Approximation Theory, Sequence Spaces and Applications, Springer , Advances in Mathematics Analysis and its Applications , Chapman and Hall/CRC. He is an editorial board member of more than 6 international journals and guest editor of a special issue named "Sequence spaces, Function spaces and Approximation Theory" of Journal of Function Spaces, Special Issue on International Conference of Nonlinear Analysis and Applications (ICNAA-2022) of Journal of Nonlinear and Convex Analysis.

Santanu Acharjee is an assistant professor in the Department of Mathematics at Gauhati University, India. He pursued an M.Sc. and Ph.D. in mathematics from Gauhati University in 2011 and 2016, respectively. His research interests include topology, soft computing, artificial intelligence, mathematical social science, mathematical economics, social networks, human trafficking, and anti-terrorism research. He has published more than thirty research articles and seven book chapters in various reputed journals. He has also collaborated with eminent researchers from various international institutes, including the University of Oxford, Creighton University, the University of Auckland, Kuwait University, the University of California-Riverside, the Russian Academy of Science, the University of Debrecen, the University of Zurich, etc. In 2020, Acharjee jointly introduced a new area of mathematical research named bitopological dynamical systems . He is a member of the American Mathematical Society, a life member of the Indian Science Congress Association, and a member of the International Association of Engineers, Hong Kong. Dr. Acharjee is an active reviewer of Mathematical Reviews (AMS), ZbMATH Open (Germany), several journals of the American Psychological Association, and more than forty other international journals. He has delivered more than ten invited talks at various national and international conferences. He co-edited a book entitled Advances in Mathematical Analysis and its Applications , published by CRC Press, and edited a book entitled Advances in Topology and Their Interdisciplinary Applications , published by Springer. In 2014, he was invited as a Visiting Researcher by the Fields Institute, Canada*. He was awarded a *travel grant from NBHM.

Dragan S. Djordjevi is Professor in the Department of Mathematics at the University of Ni, Serbia. From 2009 to 2015, he served as Dean of the Faculty of Sciences and Mathematics, and he also served twice as Vice-Dean for Scientific Research at the Faculty of Sciences and Mathematics at the same university. Djordjevi earned his M.S. and Ph.D. degrees from the University of Ni in 1996 and 1998, respectively. His research interests lie in operator theory, functional analysis, C-algebras, Banach modules, Hilbert C-modules and their applications to linear algebra and numerical analysis.

In addition to his academic roles, Djordjevi was a Member of the National Council for Higher Education of Serbia and the Board of Mathematics, Computer Science and Mechanics. He actively reviews for several prestigious journals, including the Journal of Mathematical Analysis and Applications, Linear Algebra and Its Applications, Journal of the Australian Mathematical Society, Aequationes Mathematicae, IEEE Transactions on Circuits and Systems and Mathematical Reviews. He has published over 130 research articles in various international journals and serves on the editorial board of several reputable journals of mathematics.

Contenu
Chapter 1 Some results related with nvariables non conformable fractional derivatives.- Chapter 2 On The Spectral Continuity Of The Essential Spectrum.- Chapter 3 Innite programming and application in the best proximity point theory.- Chapter 4 Some xed point results for the modied iteration process in hyperbolic spaces with an application.- Chapter 5 On common xed point results for integral type contractive conditions in S-metric spaces and application to integral equations.- Chapter 6 On ( f ,) Harmonic Summability.