Generalized probabilistic metric spaces and fixed point theorems

DOI10.1186/1687-1812-2014-91zbMath1310.54019OpenAlexW2146828569WikidataQ59323848 ScholiaQ59323848MaRDI QIDQ2264181

Ljubomir B. Ćirić, Sheng-Hua Wang, Cai-Li Zhou, Saud Mastour A. Alsulami

Publication date: 20 March 2015

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1812-2014-91

zbMATH Keywords

fixed point theoremcontraction mappingMenger metric space\(G\)-metric space

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Probabilistic metric spaces (54E70)

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Cites Work

• Mixed monotone-generalized contractions in partially ordered probabilistic metric spaces
• A generalization of Tardiff's fixed point theorem in probabilistic metric spaces and applications to random equations
• On fixed degree theorems for fuzzy mappings in Menger PM-spaces
• Coincidence point theorems in probabilistic and fuzzy metric spaces
• Some fixed point theorem for mapping on complete \(G\)-metric spaces
• Generalized distance and common fixed point theorems in Menger probabilistic metric spaces
• Fixed point theorems for contractive mappings in complete \(G\)-metric spaces
• Monotone generalized contractions in partially ordered probabilistic metric spaces
• Existence of fixed point results in \(G\)-metric spaces
• Fixed point theorems of local contraction mappings on Menger spaces
• Fixed point theorems for multivalued mappings in probabilistic metric spaces
• Symmetric spaces and fixed points of generalized contractions
• Multivalued generalizations of probabilistic contractions
• Probabilistic \(G\)-contractions
• Extension of contractive maps in the Menger probabilistic metric space
• Solving the Banach fixed point principle for nonlinear contractions in probabilistic metric spaces
• Fixed points of contraction mappings on probabilistic metric spaces
• 2‐metrische Räume und ihre topologische Struktur
• Statistical Metrics
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