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Metric Fixed Point Theory

Applications in Science, Engineering and Behavioural Sciences

  • Book
  • © 2021

Overview

  • Contains metric fixed point theory and its applications in science, engineering, fractals, and behavioral sciences
  • Discusses existing theories as well as recent developments in the area of metric fixed point theory
  • Adopts a simplistic approach to its subject matter, making it accessible to a wide range of audience

Part of the book series: Forum for Interdisciplinary Mathematics (FFIM)

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Table of contents (15 chapters)

Keywords

About this book

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. 


Editors and Affiliations

  • Department of Applied Science and Humanities, Assam University, Silchar, India

    Pradip Debnath

  • Department of Mathematics, Birjhora Mahavidyalaya, Bongaigaon, India

    Nabanita Konwar

  • Faculty of Mechanical Engineering, University of Belgrade, Belgrade, Serbia

    Stojan Radenović

About the editors

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 RADENOVIĆ 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. Radenović 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.

Bibliographic Information

  • Book Title: Metric Fixed Point Theory

  • Book Subtitle: Applications in Science, Engineering and Behavioural Sciences

  • Editors: Pradip Debnath, Nabanita Konwar, Stojan Radenović

  • Series Title: Forum for Interdisciplinary Mathematics

  • DOI: https://doi.org/10.1007/978-981-16-4896-0

  • Publisher: Springer Singapore

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2021

  • Hardcover ISBN: 978-981-16-4895-3Published: 05 January 2022

  • Softcover ISBN: 978-981-16-4898-4Published: 06 January 2023

  • eBook ISBN: 978-981-16-4896-0Published: 04 January 2022

  • Series ISSN: 2364-6748

  • Series E-ISSN: 2364-6756

  • Edition Number: 1

  • Number of Pages: IX, 353

  • Number of Illustrations: 1 b/w illustrations, 49 illustrations in colour

  • Topics: Functional Analysis, Optimization, Mathematical Modeling and Industrial Mathematics

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