Existence of equilibrium pair in non-compact E-proximity settings
Won Kyu Kim · Applied Mathematical Sciences · 2016
In this paper, using the existence theorems of best proximity points and maximal elements in non-compact settings, we will prove a basic existence theorem of equilibrium pair for a non-compact free 1-person game which generalizes both xed point theorems and equilibrium existence theorems in non-compact E-proximity settings. Mathematics Subject Classication: 47H10, 91A06