Fixed Point Theory for Lipschitzian-type Mappings with Applications

• Main Authors: Sahu, D. R. (Author), O'Regan, Donal. (Author), Agarwal, Ravi P. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: New York, NY : Springer New York, 2009.
• Series: Topological Fixed Point Theory and Its Applications ; 6
• Subjects: Mathematics.; Global analysis (Mathematics).; Functional analysis.; Topology.; Analysis.; Functional Analysis.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-0-387-75818-3

In recent years, the fixed point theory of Lipschitzian-type mappings has rapidly grown into an important field of study in both pure and applied mathematics. It has become one of the most essential tools in nonlinear functional analysis. This self-contained book provides the first systematic presen...

Table of Contents:

• Preface
• Fundamentals
• Convexity, Smoothness and Duality Mappings
• Geometrical Coefficients of Banach Spaces
• Existence Theorems in Metric Spaces
• Existence Theorems in Banach Spaces
• Approximation of Fixed Points
• Strong Convergence Theorems
• Applications of Fixed Point Theorems
• Appendix
• References
• Index.