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Topics in Fixed Point Theory Softcover reprint of the original 1st ed. 2014 Edition
Author(s): Saleh Almezel (Editor), Qamrul Hasan Ansari (Editor), Mohamed Amine Khamsi (Editor)
- Publisher: Springer
- Publication Date: 23 Aug. 2016
- Edition: Softcover reprint of the original 1st ed. 2014
- Language: English
- Print length: 315 pages
- ISBN-10: 3319345982
- ISBN-13: 9783319345987
Book Description
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.
Editorial Reviews
Review
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)
From the Back Cover
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.
