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 and reflexive Banach spaces.
Citation
Karim Chaira. Soumia Chaira. Samih Lazaiz. "On Caristi fixed point theorem for set-valued mappings." Topol. Methods Nonlinear Anal. 59 (1) 153 - 161, 2022. https://doi.org/10.12775/TMNA.2021.030
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