Fixed Point Theory for Lipschitzian-type Mappings with Applications

Ravi P. Agarwal D. R. Sahu Donal O'Regan

ISBN 10: 1441926062 / ISBN 13: 9781441926067

Published by Springer, 2010

About this Item

pp. 380 Index. Seller Inventory # 2614418371

Bibliographic Details

Title: Fixed Point Theory for Lipschitzian-type ...

Publisher: Springer

Publication Date: 2010

Binding: Soft cover

Condition: New

About this title

Synopsis:

In recent years, the fixed point theory of Lipschitzian-type mappings has rapidly grown into an important field of study in both pure and applied mathematics. It has become one of the most essential tools in nonlinear functional analysis.

This self-contained book provides the first systematic presentation of Lipschitzian-type mappings in metric and Banach spaces. The first chapter covers some basic properties of metric and Banach spaces. Geometric considerations of underlying spaces play a prominent role in developing and understanding the theory. The next two chapters provide background in terms of convexity, smoothness and geometric coefficients of Banach spaces including duality mappings and metric projection mappings. This is followed by results on existence of fixed points, approximation of fixed points by iterative methods and strong convergence theorems. The final chapter explores several applicable problems arising in related fields.

This book can be used as a textbook and as a reference for graduate students, researchers and applied mathematicians working in nonlinear functional analysis, operator theory, approximations by iteration theory, convexity and related geometric topics, and best approximation theory.