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Best proximity pairs and equilibrium pairs for Kakutani multimaps
Journal article   Peer reviewed

Best proximity pairs and equilibrium pairs for Kakutani multimaps

M.A. Al-Thagafi and Naseer Shahzad
Nonlinear analysis, Vol.70(3), pp.1209-1216
01/02/2009
DOI: https://doi.org/10.1016/j.na.2008.02.004

Abstract

Best proximity pair Equilibrium pair Fixed point Free [formula omitted]-person game Kakutani multimap
New existence theorems of best proximity pairs for a finite family of Kakutani multimaps are proved in a normed space setting. As applications, new existence theorems of equilibrium pairs for free n -person and 1-person games are obtained. Our results generalize and improve several well-known results.

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