Existence of Equilibria and Fixed Points of Set-Valued Mappings on Epi-Lipschitz Sets with Weak Tangential Conditions
Author
Source
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-02-24
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
We prove a new result of existence of equilibria for an u.s.c.
set-valued mapping F on a compact set S of Rn which is epi-Lipschitz and satisfies a weak tangential condition.
Equivalently this provides existence of fixed points of the set-valued mapping x⇉F(x)-x.
The main point of our result lies in the fact that we do not impose the usual tangential condition in terms of the Clarke tangent cone.
Illustrative examples are stated showing the importance of our results and that the existence of such equilibria does not need necessarily such usual tangential condition.
American Psychological Association (APA)
Bounkhel, Messaoud. 2016. Existence of Equilibria and Fixed Points of Set-Valued Mappings on Epi-Lipschitz Sets with Weak Tangential Conditions. Journal of Function Spaces،Vol. 2016, no. 2016, pp.1-9.
https://search.emarefa.net/detail/BIM-1108620
Modern Language Association (MLA)
Bounkhel, Messaoud. Existence of Equilibria and Fixed Points of Set-Valued Mappings on Epi-Lipschitz Sets with Weak Tangential Conditions. Journal of Function Spaces No. 2016 (2016), pp.1-9.
https://search.emarefa.net/detail/BIM-1108620
American Medical Association (AMA)
Bounkhel, Messaoud. Existence of Equilibria and Fixed Points of Set-Valued Mappings on Epi-Lipschitz Sets with Weak Tangential Conditions. Journal of Function Spaces. 2016. Vol. 2016, no. 2016, pp.1-9.
https://search.emarefa.net/detail/BIM-1108620
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1108620