Topics in Fixed Point Theory

Saleh Almezel, Qamrul Hasan Ansari, Mohamed Amine Khamsi (Herausgeber)

Buch | Softcover

XI, 304 Seiten

2016 | Softcover reprint of the original 1st ed. 2014
Springer International Publishing (Verlag)
978-3-319-34598-7 (ISBN)

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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.

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.

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)

Erscheinungsdatum	29.08.2016
Zusatzinfo	XI, 304 p.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Themenwelt	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
Schlagworte	Analysis • Banach contraction theorem • Calculus and mathematical analysis • Ekeland variational principle • Fixed Point Theory • Functional Analysis • Functional analysis and transforms • hyperconvex metric spaces • iterative methods • Ky Fan and Kakutani theorems • Lefschetz and Nielsen theories • mathematics and statistics • modular function spaces • operator theory • Optimization
ISBN-10	3-319-34598-2 / 3319345982
ISBN-13	978-3-319-34598-7 / 9783319345987
Zustand	Neuware