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

DOI10.1007/BF02093505zbMath0880.47030OpenAlexW2111115098MaRDI QIDQ5906843

Jong Kyu Kim, Yeol Je Cho, Shi Sheng Zhang

Publication date: 5 January 1998

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02093505

zbMATH Keywords

distribution functionEkeland's variational principle\(t\)-norma Menger PM-spaceCaristi's coincidence theorem

Mathematics Subject Classification ID

Related Items (3)

Coupled coincidence point theorems for contractions without commutative condition in intuitionistic fuzzy normed spaces ⋮ Vectorial Ekeland variational principles and inclusion problems in cone quasi-uniform spaces ⋮ Unnamed Item

Cites Work

• 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
• On some fixed point theorems in probabilistic metric space and its applications
• Common fixed point theorems in complete metric and probabilistic metric spaces
• Generalized Probabilistic Metric Spaces and Fixed Point Theorems
• Nonconvex minimization problems
• A Common Fixed Point Theorem for Commuting Mappings
• Fixed Point Theorems for Mappings Satisfying Inwardness Conditions
• Fixed and periodic points of local contraction mappings on probabilistic metric spaces
• Fixed point theorems in probabilistic analysis
• On E -Spaces and their Relation to Other Classes of Probabilistic Metric Spaces
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