Topics in Fixed Point Theory
1st Edition
Published on 23. October 2013
XI, 304 pages
978-3-319-01586-6 (ISBN)
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.
Reviews / Votes
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)
More details
Series
Language
English
Place of publication
Cham
Switzerland
Publishing group
Springer International Publishing
Target group
Professional and scholarly
Product notice
Reflowable
Illustrations
XI, 304 p.
File size
2,33 MB
ISBN-13
978-3-319-01586-6 (9783319015866)
DOI
10.1007/978-3-319-01586-6
Schweitzer Classification
Other editions
Additional editions
Saleh Almezel | Qamrul Hasan Ansari | Mohamed Amine Khamsi
Topics in Fixed Point Theory
Book
11/2013
Springer
€106.99
Shipment within 10-15 days
Content
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.
