Topics in Fixed Point Theory

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 t...

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Bibliographic Details
Other Authors: Almezel, Saleh (Editor), Ansari, Qamrul Hasan (Editor), Khamsi, Mohamed Amine (Editor)
Format: eBook
Language:English
Published: Cham Springer International Publishing 2014, 2014
Edition:1st ed. 2014
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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100 1 |a Almezel, Saleh  |e [editor] 
245 0 0 |a Topics in Fixed Point Theory  |h Elektronische Ressource  |c edited by Saleh Almezel, Qamrul Hasan Ansari, Mohamed Amine Khamsi 
250 |a 1st ed. 2014 
260 |a Cham  |b Springer International Publishing  |c 2014, 2014 
300 |a XI, 304 p  |b online resource 
505 0 |a 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 
653 |a Functional analysis 
653 |a Optimization 
653 |a Mathematical analysis 
653 |a Functional Analysis 
653 |a Analysis 
653 |a Operator theory 
653 |a Operator Theory 
653 |a Mathematical optimization 
700 1 |a Ansari, Qamrul Hasan  |e [editor] 
700 1 |a Khamsi, Mohamed Amine  |e [editor] 
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520 |a 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