FIXED POINT THEOREMS FOR M ¨ONCH TYPE MAPS IN ABSTRACT CONVEX UNIFORM SPACES

Abstract

In this paper, first, we present new fixed point theorems for M¨onch type multimaps on abstract convex uniform spaces and, also, a fixed point theorem for M¨onch type multimaps in Hausdorff KKM LΓ-spaces. Second, we show that M¨onch type multimaps in the better admissible class defined on an LΓ-space have fixed point properties whenever their ranges are Klee approximable. Finally, we obtain fixed point theorems on KC-maps whose ranges are Φ-sets.

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