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arXiv · 2011.02476

On Caristi fixed point theorem for set-valued mappings

Karim Chaira·Soumia Chaira·Samih Lazaiz
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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.

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Karim Chaira, Soumia Chaira, Samih Lazaiz. 2020-11-04. On Caristi fixed point theorem for set-valued mappings. https://arxiv.org/abs/2011.02476

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