REMARKS ON FIXED POINTS, MAXIMAL ELEMENTS, AND EQUILIBRIA OF ECONOMIES IN ABSTRACT CONVEX SPACES
Sehie Park · Taiwanese Journal of Mathematics · 2008
In this paper, KKM theorems or coincidence theorems on abstract convex spaces are applied to obtain the Fan-Browder type fixed point theorems, existence of maximal elements, existence of economic equilibria and some related results. Consequently, we obtain generalizations or improvements of a number of known equilibria results, especially, in a recent work of Ding and Wang [3] on the so-called FC-spaces.