Fixed Point Theory and Variational Principles in Metric Spaces

Fixed Point Theory and Variational Principles in Metric Spaces
Author :
Publisher : Cambridge University Press
Total Pages : 236
Release :
ISBN-10 : 9781009392747
ISBN-13 : 1009392743
Rating : 4/5 (743 Downloads)

Book Synopsis Fixed Point Theory and Variational Principles in Metric Spaces by : Qamrul Hasan Ansari

Download or read book Fixed Point Theory and Variational Principles in Metric Spaces written by Qamrul Hasan Ansari and published by Cambridge University Press. This book was released on 2023-09-21 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is designed for undergraduates, graduates, and researchers of mathematics studying fixed point theory or nonlinear analysis. It deals with the fixed point theory for not only single-valued maps but also set-valued maps. The text is divided into three parts: fixed point theory for single-valued mappings, continuity and fixed point aspects of set-valued analysis, and variational principles and their equilibrium problems. It comprises a comprehensive study of these topics and includes all important results derived from them. The applications of fixed point principles and variational principles, and their generalizations to differential equations and optimization are covered in the text. An elementary treatment of the theory of equilibrium problems and equilibrium version of Ekeland's variational principle is also provided. New topics such as equilibrium problems, variational principles, Caristi's fixed point theorem, and Takahashi's minimization theorem with their applications are also included.


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