Common fixed point results for probabilistic φ-contractions in generalized probabilistic metric spaces

DOI10.22436/JNSA.010.07.46zbMath1412.47179OpenAlexW4243305564MaRDI QIDQ4631346

Jing-Feng Tian, Xi-Mei Hu

Publication date: 24 April 2019

Published in: The Journal of Nonlinear Sciences and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.22436/jnsa.010.07.46

zbMATH Keywords

fixed pointmetric spacegauge functioncoupled fixed pointprobabilistic \(\varphi\)-contractions

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40) Probabilistic metric spaces (54E70)

Cites Work

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• Some fixed-point theorems for mixed monotone operators in partially ordered probabilistic metric spaces
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• Tripled fixed point theorems for contractive type mappings in partially ordered metric spaces
• On probabilistic \(\varphi\)-contractions on Menger spaces
• Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces
• Common fixed point theorems of compatible and weakly compatible maps in Menger spaces
• Heterogeneous and combined concave operators
• Fixed point theorems for multivalued mappings in probabilistic metric spaces
• Further generalizations of the Banach contraction principle
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• Fixed point theorems in partially ordered metric spaces and applications
• Coupled fixed point theorems for contractions in fuzzy metric spaces
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• [https://portal.mardi4nfdi.de/wiki/Publication:5172326 On cyclic (ψ, �)-contractions in Kaleva-Seikkala's type fuzzy metric spaces]
• Statistical Metrics

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