Multi-valued (\(\psi\), \(\varphi\), \(\varepsilon\), \(\lambda\))-contraction in probabilistic metric space

DOI10.1186/1687-1812-2012-10zbMath1273.54043OpenAlexW2140590378WikidataQ59271427 ScholiaQ59271427MaRDI QIDQ367424

Arman Beitollahi, Parvin Azhdari

Publication date: 16 September 2013

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

Full work available at URL: https://doi.org/10.1186/1687-1812-2012-10

zbMATH Keywords

fixed pointprobabilistic metric space(\(\psi\), \(\varphi\), \(\varepsilon\), \(\lambda\))-contraction

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40) Probabilistic metric spaces (54E70)

Related Items (2)

Separated ▵+-valued equivalences as probabilistic partial metric spaces ⋮ (\(\psi\),\(\varphi\),\(\epsilon\),\(\lambda\))-contraction theorems in probabilistic metric spaces for single valued case

Cites Work

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• A class of contractions in fuzzy metric spaces
• Fixed point theorems for multivalued probabilistic \((\Psi)\)-contractions
• Triangular norms
• A fixed point theorem for multivalued mappings in probabilistic metric spaces and an application in fuzzy metric spaces
• Multivalued generalizations of probabilistic contractions
• A multivalued generalization of Hick's \(C\)-contraction
• A Banach contraction theorem in fuzzy metric spaces
• A fixed point theorem in probabilistic metric spaces and an application

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