ENGLISH

Fixed Point Theory and Variational Principles in Metric Spaces

By Qamrul Hasan Ansari , Daya Ram Sahu

Book information

Publisher
Cambridge University Press
Year
2023
ISBN
9781009351454
Language
english
Format
PDF
Filesize
2 MB (1936970 bytes)
Edition
1
Pages
219\234
Orientation
yes
Paginated
no
Scanned
portrait
Time added
2023-07-25 19:28:04
Fixed Point TheoryMetric spacesvariational principles

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.

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