Fixed point theory and variational principles in metric spaces:
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-val...
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| Main Authors: | , |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge, United Kingdom
Cambridge University Press
2023
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| Subjects: | |
| Online Access: | DE-12 DE-634 DE-521 DE-92 DE-91 Volltext |
| Summary: | 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. |
| Physical Description: | 1 Online-Ressource (xiv, 219 Seiten) |
| ISBN: | 9781009351430 |
| DOI: | 10.1017/9781009351430 |
Staff View
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| author | Ansari, Qamrul Hasan 1959- Sahu, Dipti Ranjan |
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| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| doi_str_mv | 10.1017/9781009351430 |
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| isbn | 9781009351430 |
| language | English |
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| spelling | Ansari, Qamrul Hasan 1959- Verfasser (DE-588)1018430636 aut Fixed point theory and variational principles in metric spaces Qamrul Hasan Ansari, D.R. Sahu Cambridge, United Kingdom Cambridge University Press 2023 1 Online-Ressource (xiv, 219 Seiten) txt rdacontent c rdamedia cr rdacarrier 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. Metric spaces Fixed point theory Variational principles Sahu, Dipti Ranjan Verfasser (DE-588)1334106339 aut Erscheint auch als Druck-Ausgabe 978-1-009-35145-4 https://doi.org/10.1017/9781009351430 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Ansari, Qamrul Hasan 1959- Sahu, Dipti Ranjan Fixed point theory and variational principles in metric spaces Metric spaces Fixed point theory Variational principles |
| title | Fixed point theory and variational principles in metric spaces |
| title_auth | Fixed point theory and variational principles in metric spaces |
| title_exact_search | Fixed point theory and variational principles in metric spaces |
| title_exact_search_txtP | Fixed point theory and variational principles in metric spaces |
| title_full | Fixed point theory and variational principles in metric spaces Qamrul Hasan Ansari, D.R. Sahu |
| title_fullStr | Fixed point theory and variational principles in metric spaces Qamrul Hasan Ansari, D.R. Sahu |
| title_full_unstemmed | Fixed point theory and variational principles in metric spaces Qamrul Hasan Ansari, D.R. Sahu |
| title_short | Fixed point theory and variational principles in metric spaces |
| title_sort | fixed point theory and variational principles in metric spaces |
| topic | Metric spaces Fixed point theory Variational principles |
| topic_facet | Metric spaces Fixed point theory Variational principles |
| url | https://doi.org/10.1017/9781009351430 |
| work_keys_str_mv | AT ansariqamrulhasan fixedpointtheoryandvariationalprinciplesinmetricspaces AT sahudiptiranjan fixedpointtheoryandvariationalprinciplesinmetricspaces |