: Springer International Publishing :Imprint: Springer,
Date of Publication, Distribution, etc.
, 2014.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
XI, 304 s. , online resource..
GENERAL NOTES
Text of Note
9783319015859.
NOTES PERTAINING TO PUBLICATION, DISTRIBUTION, ETC.
Text of Note
Electronic
CONTENTS NOTE
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Summary: 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@2019s variational principle.
Text of Note
1 Introduction to Metric Fixed Point Theory -- M.A. Khamsi -- 2aBanach Contraction Principle and its Generalizations -- Abdul Latif -- 3aEkeland@2019s Variational Principle and Its Extensions with Applications.a Qamrul Hasan Ansari -- 4 Fixed Point Theory in Hyperconvex Metric Spaces.aRafael Esp?nola and Aurora Fern?ndez-Le?n.-a5aAn Introduction to Fixed Point Theory in Modular Function Spaces.aW. M. Kozlowski.-a6aFixed Point Theory in Ordered Sets from the Metric Point of View.aM. Z. Abu-Sbeih andaM. A. Khamsi.-a7aSome Fundamental Topological Fixed Point Theorems for Set-Valued Maps.aHichem Ben-El-Mechaiekh.-a8aSome Iterative Methods for Fixed Point Problems.aQ. H. Ansari and D. R. Sahu -- Index.