Q.H. Ansari Metric Spaces

ISBN 13: 9788184870992

Metric Spaces

 
9788184870992: Metric Spaces

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Qamrul Hasan Ansari
Published by Narosa Publishing House (2010)
ISBN 10: 818487099X ISBN 13: 9788184870992
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Book Description Narosa Publishing House, 2010. Softcover. Book Condition: New. 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. Printed Pages: 203. Bookseller Inventory # 67657

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Q.H. Ansari
Published by Narosa Publishing House Pvt. Ltd., New Delhi
ISBN 10: 818487099X ISBN 13: 9788184870992
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Book Description Narosa Publishing House Pvt. Ltd., New Delhi. N.A. Book Condition: New. Bookseller Inventory # 372485

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Qamrul Hasan Ansari
Published by Narosa Publishing House (2010)
ISBN 10: 818487099X ISBN 13: 9788184870992
New Softcover Quantity Available: > 20
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Book Description Narosa Publishing House, 2010. Softcover. Book Condition: New. 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 Caristiâs 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 Ekelandâs variational principle. This principle along with several of its equivalent forms, Takahashiâs minimization theorem, introduction of theory of equilibrium problems and the equilibrium version of Ekelandâs 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 / Ekelandâs Variational Principle and its Applications / Some Basic Inequalities / Partial Ordering / Nested Interval Property / References / Index. Printed Pages: 203. Bookseller Inventory # 67657

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Q.H. Ansari
ISBN 10: 818487099X ISBN 13: 9788184870992
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Book Description Book Condition: New. This is Brand NEW. Bookseller Inventory # Narosa-51217-36

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