| 书目名称 | Fixed Point Theory for Lipschitzian-type Mappings with Applications |
| 编辑 | D. R. Sahu,Donal O‘Regan,Ravi P. Agarwal |
| 视频video | |
| 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 |
| 丛书名称 | Topological Fixed Point Theory and Its Applications |
| 图书封面 |  |
| 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 |
| 关键词 | Convexity; Fixed-Point Theory; Operator theory; Smooth function; banach spaces; convergence theory; fixed |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-0-387-75818-3 |
| isbn_softcover | 978-1-4419-2606-7 |
| isbn_ebook | 978-0-387-75818-3 |
| copyright | Springer-Verlag New York 2009 |
发表于 2025-3-21 19:20:27
