Fixed Point Theory for Lipschitzian type Mappings with Applications is popular PDF and ePub book, written by Ravi P. Agarwal in 2009-06-12, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Fixed Point Theory for Lipschitzian type Mappings with Applications can be Read Online from any device for your convenience.
Fixed Point Theory for Lipschitzian type Mappings with Applications Book PDF Summary
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 is followed by results on existence of fixed points, approximation of fixed points by iterative methods and strong convergence theorems. The final chapter explores several applicable problems arising in related fields. This book can be used as a textbook and as a reference for graduate students, researchers and applied mathematicians working in nonlinear functional analysis, operator theory, approximations by iteration theory, convexity and related geometric topics, and best approximation theory.
Detail Book of Fixed Point Theory for Lipschitzian type Mappings with Applications PDF
- Author : Ravi P. Agarwal
- Release : 12 June 2009
- Publisher : Springer Science & Business Media
- ISBN : 9780387758183
- Genre : Mathematics
- Total Page : 373 pages
- Language : English
- PDF File Size : 14,5 Mb
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