Ravi P. Agarwal / D. R. Sahu / Donal O'Regan
Fixed Point Theory for Lipschitzian-type Mappings with Applications
- Springer New York
- 2010
- Taschenbuch
- 380 Seiten
- ISBN 9781441926067
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 presentation of Lipschitzian-type mappings in metric and Banach spaces. The first chapter covers some basic properties of metric and Banach spaces. Geometric considerations of underlying spaces play a prominent role in developing and understanding the theory. The next two chapters provide background in terms of convexity, smoothness and geometric coefficients of Banach spaces including duality mappings and metric projection mappings. This
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