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Fixed Point Theory and Variational Principles in Metric Spaces.
・ISBN 978-1-009-35145-4 hard GB£ 100.00
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電子版あり 大学・学術機関向け電子ブック（eBook）ISBN 978-1-009-35143-0
| 著者・編者 | Ansari, Qamrul Hasan / Sahu, Daya Ram, |
|---|---|
| 出版社 | (Cambridge University Press, UK) |
| 出版年月 | 2023 |
| ページ数 | 230 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-5315＞ |
解説
The book is designed for undergraduates, graduates, and researchers of mathematics studying fixed point theory or nonlinear analysis. It deals with the fixed point theory for not only single-valued maps but also set-valued maps. The text is divided into three parts: fixed point theory for single-valued mappings, continuity and fixed point aspects of set-valued analysis, and variational principles and their equilibrium problems. It comprises a comprehensive study of these topics and includes all important results derived from them. The applications of fixed point principles and variational principles, and their generalizations to differential equations and optimization are covered in the text. An elementary treatment of the theory of equilibrium problems and equilibrium version of Ekeland's variational principle is also provided. New topics such as equilibrium problems, variational principles, Caristi's fixed point theorem, and Takahashi's minimization theorem with their applications are also included.