The first common fixed point theorem for commutative set-valued mappings
Functional Analysis
2018-01-08 v2 Classical Analysis and ODEs
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.
Cite
@article{arxiv.1707.06098,
title = {The first common fixed point theorem for commutative set-valued mappings},
author = {Issa Mohamadi},
journal= {arXiv preprint arXiv:1707.06098},
year = {2018}
}
Comments
Some new results were added