On Caristi fixed point theorem for set-valued mappings
Functional Analysis
2021-04-28 v3
Abstract
The aim of this paper is to discuss Penot's problem on a generalization of Caristi's fixed point theorem. We settle this problem in the negative and we present some new theorems on the existence of fixed points of set-valued mappings in ordered metric spaces.
Cite
@article{arxiv.2011.02476,
title = {On Caristi fixed point theorem for set-valued mappings},
author = {Karim Chaira and Soumia Chaira and Samih Lazaiz},
journal= {arXiv preprint arXiv:2011.02476},
year = {2021}
}