Fixed point theorems for multivalued maps

Authors: Xiaolong Qin, Nguyễn Văn Lương,

https://doi.org/10.1007/s11784-018-0495-8

Publisher, magazine: ,

Publication year: 2018

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Abstract

In this paper, we first prove a fixed point theorem for multivalued maps in metric spaces which generalizes many results in literature. We then apply the theorem to give sufficient conditions for the existence of fixed points of Lipschitz multifunctions in Banach spaces.

Tags: Fixed point ,multivalued map, lipschitz multifunction, involution