By Ravi P. Agarwal,Donal O'Regan,D. R. Sahu
In contemporary years, the fastened aspect thought of Lipschitzian-type mappings has speedily grown into an enormous box of analysis in either natural and utilized arithmetic. It has develop into essentially the most crucial instruments in nonlinear sensible research.
This self-contained ebook offers the 1st systematic presentation of Lipschitzian-type mappings in metric and Banach areas. the 1st bankruptcy covers a few simple houses of metric and Banach areas. Geometric issues of underlying areas play a well-known position in constructing and figuring out the idea. the subsequent chapters supply history when it comes to convexity, smoothness and geometric coefficients of Banach areas together with duality mappings and metric projection mappings. this can be by way of effects on life of mounted issues, approximation of mounted issues by means of iterative tools and robust convergence theorems. the ultimate bankruptcy explores a number of appropriate difficulties coming up in similar fields.
This ebook can be utilized as a textbook and as a reference for graduate scholars, researchers and utilized mathematicians operating in nonlinear useful research, operator conception, approximations through generation conception, convexity and similar geometric issues, and top approximation theory.
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