On Caristi fixed point theorem for set-valued mappings
DOI:
https://doi.org/10.12775/TMNA.2021.030Keywords
Caristi fixed point theorem, set-valued mappings, ordered metric spaces, reflexive Banach spacesAbstract
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.References
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Copyright (c) 2022 Karim Chaira, Soumia Chaira, Samih Lazaiz
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