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arXiv · 1707.06098

The first common fixed point theorem for commutative set-valued mappings

Issa Mohamadi
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Abstract

We establish the first common fixed point theorem for commutative set-valued mappings. This may help to generalize common fixed point theorems in single-valued setting to those in set-valued. We also prove the existence of a fixed point in a continuously expanding set under a none convex upper semicontinuous set-valued mapping; as a result we answer positivly to a question of Lau and Yao.

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Issa Mohamadi. 2017-07-18. The first common fixed point theorem for commutative set-valued mappings. https://arxiv.org/abs/1707.06098

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