Metric Spaces: Including Fixed Point Theory and Set-valued Maps

Ansari, Qamrul Hasan

ISBN 10: 1842656554 / ISBN 13: 9781842656556

Published by Alpha Science, 2010

About this Item

Befriedigend/Good: Durchschnittlich erhaltenes Buch bzw. Schutzumschlag mit Gebrauchsspuren, aber vollständigen Seiten. / Describes the average WORN book or dust jacket that has all the pages present.

Seller Inventory # M01842656554-G

Bibliographic Details

• Title: Metric Spaces: Including Fixed Point Theory and Set-valued Maps
• Publisher: Alpha Science
• Publication Date: 2010
• Language: English
• ISBN 10: 1842656554
• ISBN 13: 9781842656556
• Binding: Hardcover
• Condition: good

About this title

Synopsis

Metric Spaces is intended for undergraduate students offering a course of metric spaces and post graduate students offering a course of nonlinear analysis or fixed point theory. The first six chapters cover basic concepts of metric spaces, separable spaces, compact spaces, connected spaces and continuity of functions defined on a metric space. Chapter seven is devoted to the metric fixed point theory. Banach contraction theorem and several of its generalizations along with their applications and Caristi's fixed point theorem are also given in this chapter.

The introductory set-valued analysis with special emphysis on continuity and fixed point theory of set-valued maps is given in chapter eight. One of the most useful and important results from nonlinear analysis is Ekeland's variational principle. This principle along with several of its equivalent forms, Takahashi's minimization theorem, introduction of theory of equilibrium problems and the equilibrium version of Ekeland's variational principle and several of its equivalent forms are presented in the last chapter.

This book will also be useful for researchers working in nonlinear analysis, optimization and theory of equilibrium problems.

Table of Contents

• Preface
• Notations and Abbreviations
• Basic Concepts
• Complete Metric Spaces
• Separable Spaces
• Compact Spaces
• Continuous Functions
• Connected Spaces
• Fixed Point Theorems
• Set-valued Maps
• Ekeland's Variational Principle and its Applications
• Some Basic Inequalities
• Partial Ordering
• Nested Interval Property
• References
• Index.

About the Author

Qamrul Hasan Ansari.: Department of Mathematics Aligarh Muslim University, Aligarh