Best Proximity Sets and Equilibrium Pairs for a Finite Family of Multimaps
By M. A. Al-Thagafi, Naseer Shahzad. 2008
64 citations recorded by the source corpus.
We 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 -multimap or a multimap such that both and are closed and have the KKM property for each Kakutani multimap . 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.
Subfields: Economics and Econometrics, Management Science and Operations Research
View Paper: https://www.semanticscholar.org/paper/264441b144fd124865871321d0a82159f2a6db70
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In Economics and Econometrics
In Management Science and Operations Research
Citations in the corpus
- Best proximity point theorems for generalized proximal contractions (2012, background): “Also, best proximity point theorems for various kinds of multi-valued mappings have been accomplished in [21-31].”