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On Stability of Fixed Points for Multi-Valued Mappings with an Application
Author
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-02-26
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
This paper studies the stability of fixed points for multi-valued mappings in relation to selections.
For multi-valued mappings admitting Michael selections, some examples are given to show that the fixed point mapping of these mappings are neither upper semi-continuous nor almost lower semi-continuous.
Though the set of fixed points may be not compact for multi-valued mappings admitting Lipschitz selections, by finding sub-mappings of such mappings, the existence of minimal essential sets of fixed points is proved, and we show that there exists at least an essentially stable fixed point for almost all these mappings.
As an application, we deduce an essentially stable result for differential inclusion problems.
American Psychological Association (APA)
Song, Qi-Qing. 2014. On Stability of Fixed Points for Multi-Valued Mappings with an Application. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-5.
https://search.emarefa.net/detail/BIM-1015191
Modern Language Association (MLA)
Song, Qi-Qing. On Stability of Fixed Points for Multi-Valued Mappings with an Application. Abstract and Applied Analysis No. 2014 (2014), pp.1-5.
https://search.emarefa.net/detail/BIM-1015191
American Medical Association (AMA)
Song, Qi-Qing. On Stability of Fixed Points for Multi-Valued Mappings with an Application. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-5.
https://search.emarefa.net/detail/BIM-1015191
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1015191