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Fixed Point Theory and Variational Principles in Metric Spaces by Qamrul Hasan Ansari (Aligarh Muslim University, India) at Abbey's Bookshop,
Fixed Point Theory and Variational Principles in Metric Spaces
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Qamrul Hasan Ansari (Aligarh Muslim University, India) Daya Ram Sahu (Banaras Hindu University, India)

Fixed Point Theory and Variational Principles in Metric Spaces

Qamrul Hasan Ansari (Aligarh Muslim University, India),  Daya Ram Sahu (Banaras Hindu University, India)

$179.95

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English
Cambridge University Press
21 September 2023
Real analysis, real variables; Topology
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.
By:   , ,
Imprint:   Cambridge University Press
Country of Publication:   United Kingdom
Dimensions:   Height: 248mm,  Width: 191mm,  Spine: 16mm
Weight:   540g
ISBN:   9781009351454
ISBN 10:   1009351451
Pages:   230
Publication Date:  
Audience:   College/higher education ,  A / AS level ,  Further / Higher Education
Format:   Hardback
Publisher's Status:   Active
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.

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