
Fixed Point Theory and Variational Principles in Metric Spaces
Cambridge University Press
Published on 21. September 2023
Book
Hardback
230 pages
978-1-009-35145-4 (ISBN)
Description
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.
More details
Language
English
Place of publication
Cambridge
United Kingdom
Target group
College/higher education
Product notice
sewn/stitched
Cloth over boards
Illustrations
Worked examples or Exercises
Dimensions
Height: 246 mm
Width: 190 mm
Thickness: 18 mm
Weight
544 gr
ISBN-13
978-1-009-35145-4 (9781009351454)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions

Qamrul Hasan Ansari | Daya Ram Sahu
Fixed Point Theory and Variational Principles in Metric Spaces
E-Book
08/2023
Cambridge University Press
€117.99
Available for download
Persons
Author
Aligarh Muslim University, India
Banaras Hindu University, India
Content
Preface; Acknowledgements; Notations and Abbreviations; 1. Basic Definitions and Concepts from Metric Spaces; 2. Fixed Point Theory in Metric Spaces; 3. Set-valued Analysis: Continuity and Fixed Point Theory; 4. Variational Principles and their Applications; 5. Equilibrium Problems and Extended Ekeland's Variational Principle; 6. Some Applications of Fixed Point Theory; Appendix A. Some Basic Concepts and Inequalities; Appendix B. Partial Ordering; References; Index.