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Titlebook: Fixed Point Theory for Lipschitzian-type Mappings with Applications; D. R. Sahu,Donal O‘Regan,Ravi P. Agarwal Book 2009 Springer-Verlag Ne

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書目名稱Fixed Point Theory for Lipschitzian-type Mappings with Applications
編輯D. R. Sahu,Donal O‘Regan,Ravi P. Agarwal
視頻videohttp://file.papertrans.cn/345/344037/344037.mp4
概述Presents many basic techniques and results in fixed point theory.Self-contained presentation.Good graduate text with exercises at the end of each chapter
叢書名稱Topological Fixed Point Theory and Its Applications
圖書封面Titlebook: Fixed Point Theory for Lipschitzian-type Mappings with Applications;  D. R. Sahu,Donal O‘Regan,Ravi P. Agarwal Book 2009 Springer-Verlag Ne
描述.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 geome
出版日期Book 2009
關鍵詞Convexity; Fixed-Point Theory; Operator theory; Smooth function; banach spaces; convergence theory; fixed
版次1
doihttps://doi.org/10.1007/978-0-387-75818-3
isbn_softcover978-1-4419-2606-7
isbn_ebook978-0-387-75818-3
copyrightSpringer-Verlag New York 2009
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