Metric Fixed Point Theory

This book collects chapters on contemporary topics on metric fixed point theory and its applications in science, engineering, fractals, and behavioral sciences. Chapters contributed by renowned researchers from across the world, this book includes several useful tools and techniques for the development of skills and expertise in the area. The book presents the study of common fixed points in a generalized metric space and fixed point results with applications in various modular metric spaces. New insight into parametric metric spaces as well as study of variational inequalities and variational control problems have been included.

Autorentext

PRADIP DEBNATH is Assistant Professor of Mathematics at the Department of Applied Science and Humanities, Assam University, Silchar, India. He received his Ph.D. in Mathematics from the National Institute of Technology Silchar, India. His research interests include fixed point theory, nonlinear analysis, fuzzy normed linear spaces, and fuzzy graphs. He has published over 50 papers in various journals of international repute and is Reviewer for more than 20 renowned international journals. He has successfully guided several Ph.D. students in the areas of fixed point theory and fuzzy normed linear spaces. At present, he is working on a major basic science research project on fixed point theory funded by the UGC, the Government of India. Having been an academic gold medalist during his post-graduation studies, Dr. Debnath has qualified several national-level examinations in mathematics in India.

NABANITA KONWAR is Assistant Professor at the Department of Mathematics, Birjhora Mahavidyalaya, Bongaigaon, India. She received a Ph.D. in Mathematics from the North Eastern Regional Institute of Science and Technology, Arunachal Pradesh, India. Her research areas are fixed point theory and fuzzy functional analysis. She has published over 15 papers in these areas with reputed international journals. She has qualified several national-level examinations, including GATE and SLET in mathematics.

STOJAN RADENOVI is former Full Professor at the Department of Mathematics, Faculty of Mechanical Engineering, University of Belgrade, Serbia. He received his Ph.D. in Mathematics from the University of Belgrade, Serbia. His research interests are functional analysis and nonlinear analysis, especially the theory of fixed point in abstract metric spaces and ordered metric spaces. He has been invited for research collaborations by several universities, including the University of Paris VII, Paris, France. He has worked as Editor in reputed journals and is also Referee for several. He has published more than 140 papers in SCI/SCIE indexed journals and more than 350 papers in the journals of international repute. At present, Prof. Radenovi has 9730 citations in Google Scholar with h-index 53 and i10-index 202. For four years, he has been a Thomson-Reuters (Clarivate Analytics) highly cited researcher. In 2020, he appeared in the list of World's Top 2% Scientists published by Stanford University, California.

Inhalt
Binayak S. Choudhury and Nikhilesh Metiya: Basic Fixed Point Theorems in Metric Spaces.- Anupam Das and Bipan Hazarika: Study of Fixed Point Theorem and in Finite Systems of Integral Equations.- N. Konwar: Common Fixed Point Theorems and Applications in Intuitionistic Fuzzy Cone Metric Spaces.- Tayebe Laal Shateri and Ozgur Ege: Modular Spaces and Fixed Points of Generalized Contractions.- Nesrin Manav: Generalized Modular Metric Spaces.- Fatemeh Lael and Naeem Saleem: Fixed Point Theorems on Modular Spaces.- Mahpeyker Ozturk and Ekber Girgin: On Some Fixed Point Results in Various Type of Modular Metric Spaces.- Yumnam Mahendra Singh and Mohammad Saeed Khan: On Parametric (b, )-Metric Space and Some Fxed Point Theorems.- Lateef Olakunle Jolaoso: Some Extragradient Methods for Solving Variational Inequalities using Bregman Projection and Fixed Point Techniques in Reflexive Banach Spaces.- Hasanen A. Hammad: Common Solutions to Variational Inequality Problem via Parallel and Cyclic Hybrid Inertial CQ-Subgradient Extragradient Algorithms in (HSs).- Savin Treanµ: On a New Class of Interval-Valued Variational Control Problems.- Huseyin Isik, Amjad Ali, Fahim Uddin, Awais Asif and Muhammad Arshad: Best Proximity Points for Multivalued Mappings Satisfying Z-Proximal Contractions with Applications.- Naeem Saleem: Coincidence Best Proximity Point Results via *wp-*Distance with Applications.- Sudesh Kumari, Ashish Nandal and Renu Chugh: Application of Fixed Point Iterative Methods to Construct Fractals and Anti-Fractals.- Rajendra Pant, Rahul Shukla and Prashant Patel: Nonexpansive Mappings, Their Extensions and Generalizations in Banach Spaces.- Pradip Debnath: A Mathematical Model using Fxed Point Theorem for Two-Choice Behavior of Rhesus Monkeys in a Noncontingent Environment.