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Fixed Point Theory and Applications
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Best Proximity Sets and Equilibrium Pairs for a Finite Family of Multimaps

descriptionPublicationkeyboard_double_arrow_right Article 29 Oct 2008 English Publisher:Springer Science and Business Media LLCJournal:Fixed Point Theory and Applications, volume 2,008 (eissn: 1687-1812, Copyright policy )
Authors: Naseer Shahzad; M.A. Al-Thagafi;

doi: 10.1155/2008/457069

Best Proximity Sets and Equilibrium Pairs for a Finite Family of Multimaps

Abstract

AbstractWe establish the existence of a best proximity pair for which the best proximity set is nonempty for a finite family of multimaps whose product is either an "Equation missing"-multimap or a multimap "Equation missing" such that both "Equation missing" and "Equation missing" are closed and have the KKM property for each Kakutani multimap "Equation missing". As applications, we obtain existence theorems of equilibrium pairs for free 1-person games as well as for free 1-person games. Our results extend and improve several well-known and recent results.

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Keywords

T57-57.97, QA299.6-433, Applied mathematics. Quantitative methods, Applied Mathematics, Geometry and Topology, Analysis

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
45
Average
Top 10%
Top 10%
gold