Topics in fixed point theory /

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Bibliographic Details
Imprint:	Cham : Springer, 2014.
Description:	1 online resource (xi, 304 pages)
Language:	English
Subject:	Fixed point theory. Mathematics. Fixed point theory.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11081860

Hidden Bibliographic Details
Other authors / contributors:	Almezel, Saleh, editor. Ansari, Qamrul Hasan, editor. Khamsi, Mohamed A., editor.
ISBN:	9783319015866 3319015869 9783319015859
Notes:	Includes bibliographical references and index. Online resource; title from PDF title page (SpringerLink, viewed October 28, 2013).
Summary:	The purpose of this contributed volume is to provide a primary resource for anyone interested in fixed point theory with a metric flavor. The book presents information for those wishing to find results that might apply to their own work and for those wishing to obtain a deeper understanding of the theory. The book should be of interest to a wide range of researchers in mathematical analysis as well as to those whose primary interest is the study of fixed point theory and the underlying spaces. The level of exposition is directed to a wide audience, including students and established researchers. Key topics covered include Banach contraction theorem, hyperconvex metric spaces, modular function spaces, fixed point theory in ordered sets, topological fixed point theory for set-valued maps, coincidence theorems, Lefschetz and Nielsen theories, systems of nonlinear inequalities, iterative methods for fixed point problems, and the Ekeland's variational principle.
Standard no.:	10.1007/978-3-319-01586-6

Table of Contents:

Introduction to Metric Fixed Point Theory / M.A. Khamsi
Banach Contraction Principle and its Generalizations / Abdul Latif
Ekeland's Variational Principle and Its Extensions with Applications / Qamrul Hasan Ansari
Fixed Point Theory in Hyperconvex Metric Spaces / Rafael Espinola and Aurora Fernandez-Leon
An Introduction to Fixed Point Theory in Modular Function Spaces / W.M. Kozlowski
Fixed Point Theory in Ordered Sets from the Metric Point of View / M.Z. Abu-Sbeih and M.A. Khamsi
Some Fundamental Topological Fixed Point Theorems for Set-Valued Maps / Hichem Ben-El-Mechaiekh
Some Iterative Methods for Fixed Point Problems / Q.H. Ansari and D.R. Sahu.

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