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학술저널

Fixed point theorems for Monch type maps in abstract convex uniform spaces

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

1. Introduction and preliminaries

2. Fixed point theorems for Monch type maps

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