Coincidence point theorems in generating spaces of quasi-metric family

DOI10.1016/S0165-0114(98)00469-2zbMath0982.54035OpenAlexW2014013999MaRDI QIDQ1595245

Byung-Soo Lee, Kang, Shin Min, Yong-Kab Choi, Jong Soo Jung, Yeol Je Cho

Publication date: 11 February 2001

Published in: Fuzzy Sets and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0165-0114(98)00469-2

zbMATH Keywords

coincidence pointprobabilistic metric spaces

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Fixed-point and coincidence theorems (topological aspects) (54H25) Fuzzy topology (54A40) Probabilistic metric spaces (54E70)

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An alternative characterization of probabilistic Menger spaces with H-type triangular norms

Cites Work

• 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
• The variational principle in fuzzy metric spaces and its applications
• A general principle on ordered sets in nonlinear functional analysis
• A generalization of Caristi's theorem with applications to nonlinear mapping theory
• Fixed point theorems for multivalued mappings on complete metric spaces
• Coincidence point theorems and minimization theorems in fuzzy metric spaces
• Coincidence theorems for set-valued mappings and Ekeland's variational principle in fuzzy metric spaces
• Minimization theorems for fixed point theorems in fuzzy metric spaces and applications
• Fixed Point Theorems for Mappings Satisfying Inwardness Conditions
• A New Proof of Caristi's Fixed Point Theorem
• On fuzzy metric spaces
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