Topics in Fixed Point Theory by Saleh AlmezelTopics in Fixed Point Theory by Saleh Almezel

Topics in Fixed Point Theory

bySaleh AlmezelEditorQamrul Hasan Ansari, Mohamed Amine Khamsi

Hardcover | November 8, 2013

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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.
Title:Topics in Fixed Point TheoryFormat:HardcoverDimensions:304 pagesPublished:November 8, 2013Publisher:Springer-Verlag/Sci-Tech/TradeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:3319015850

ISBN - 13:9783319015859


Table of Contents

1 Introduction to Metric Fixed Point Theory. M.A. Khamsi.- 2 Banach Contraction Principle and its Generalizations. Abdul Latif.- 3 Ekeland's Variational Principle and Its Extensions with Applications. Qamrul Hasan Ansari.- 4 Fixed Point Theory in Hyperconvex Metric Spaces. Rafael Espínola and Aurora Fernández-León.- 5 An Introduction to Fixed Point Theory in Modular Function Spaces. W. M. Kozlowski.- 6 Fixed Point Theory in Ordered Sets from the Metric Point of View. M. Z. Abu-Sbeih and M. A. Khamsi.- 7 Some Fundamental Topological Fixed Point Theorems for Set-Valued Maps. Hichem Ben-El-Mechaiekh.- 8 Some Iterative Methods for Fixed Point Problems. Q. H. Ansari and D. R. Sahu.- Index.

Editorial Reviews

From the book reviews:

"The book under review is the next presentation of main subjects in the theory. . The book has a good chance to be used as one more source of information for newcomers to the theory, students and researchers." (K. Goebel, Mathematical Reviews, February, 2015)