Ekeland's variational principle and Caristi's fixed point theorem in probabilistic metric space

DOI10.1007/BF02005971zbMath0743.54017OpenAlexW1975558379MaRDI QIDQ1180499

Yu-Qing Chen, Shi Sheng Zhang, Jin-Li Guo

Publication date: 27 June 1992

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02005971

zbMATH Keywords

Ekeland's variational principleCaristi's fixed point theorem

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25) Probabilistic metric spaces (54E70)

Related Items (7)

Hybrid coincidence and common fixed point theorems in Menger probabilistic metric spaces under a strict contractive condition with an application ⋮ Ekeland's variational principle and Caristi's coincidence theorem for set-valued mappings in probabilistic metric spaces ⋮ Generalized contraction mapping principle and differential equations in probabilistic metric spaces ⋮ Ekeland's variational principle and Caristi's coincidence theorem for set-valued mappings in probabilistic metric spaces ⋮ Coincidence point theorems and minimization theorems in fuzzy metric spaces ⋮ Functional-type Caristi-Kirk theorem on Menger space and application ⋮ Coincidence point theorems in generating spaces of quasi-metric family

Cites Work

• Statistical metric spaces
• The metrization of statistical metric spaces
• A generalization of Caristi's theorem with applications to nonlinear mapping theory
• On the variational principle
• Nonconvex minimization problems
• A Characterization of Complete Metric Spaces
• Fixed Point Theorems for Mappings Satisfying Inwardness Conditions
• Caristi's fixed point theorem and metric convexity
• On E -Spaces and their Relation to Other Classes of Probabilistic Metric Spaces
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