Ekeland's variational principle and Caristi's coincidence theorem for set-valued mappings in probabilistic metric spaces

DOI10.1007/BF02455381zbMath0777.54022OpenAlexW2060623455MaRDI QIDQ5894718

Shi Sheng Zhang

Publication date: 16 September 1993

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02455381

zbMATH Keywords

Ekeland's variational principleprobabilistic metric spacesMenger spaceKirk-Caristi fixed point theorem

Mathematics Subject Classification ID

Variational inequalities (49J40) Set-valued maps in general topology (54C60) Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Probabilistic metric spaces (54E70)

Related Items (1)

Hybrid coincidence and common fixed point theorems in Menger probabilistic metric spaces under a strict contractive condition with an application

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Statistical metric spaces
• The metrization of statistical metric spaces
• Set-valued Caristi's fixed point theorem and Ekeland's variational principle
• Ekeland's variational principle and Caristi's fixed point theorem in probabilistic metric space
• Nonconvex minimization problems
• Fixed Point Theorems for Mappings Satisfying Inwardness Conditions

This page was built for publication: Ekeland's variational principle and Caristi's coincidence theorem for set-valued mappings in probabilistic metric spaces