On Caristi fixed point theorem for set-valued mappings

DOI10.12775/TMNA.2021.030MaRDI QIDQ2135286

Soumia Chaira, Karim Chaira, Samih Lazaiz

Publication date: 6 May 2022

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.02476

zbMATH Keywords

set-valued mappingsreflexive Banach spacesordered metric spacesCaristi fixed point theorem

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Fixed point theorems for multi-valued contractive mappings and multi-valued Caristi type mappings
• Remarks on Caristi's fixed point theorem
• Caristi's fixed point theorem and selections of set-valued contractions
• Coincidence theorems for set-valued mappings and Ekeland's variational principle in fuzzy metric spaces
• Common fixed point properties for a family of set-valued mappings
• Caristi fixed point theorem in metric spaces with a graph
• Extension of Kirk-Saliga fixed point theorem in a metric space with a reflexive digraph
• Common fixed points in generalized metric spaces with a graph
• Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations
• Multi-valued contraction mappings
• Fixed Point Theorems for Mappings Satisfying Inwardness Conditions
• Shorter Notes: Fixed Points and Partial Orders
• A fixed point theorem in partially ordered sets and some applications to matrix equations
• FIBONACCI–MANN ITERATION FOR MONOTONE ASYMPTOTICALLY NONEXPANSIVE MAPPINGS

This page was built for publication: On Caristi fixed point theorem for set-valued mappings