On fixed point theorems involving altering distances in Menger probabilistic metric spaces

DOI10.1186/1029-242X-2013-576zbMath1490.54056OpenAlexW2167382792WikidataQ59299274 ScholiaQ59299274MaRDI QIDQ2249066

Dhananjay Gopal, Poom Kumam, Tatjana Došenović, Deepesh Kumar Patel, Aleksandar Takaći

Publication date: 8 July 2014

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1029-242x-2013-576

zbMATH Keywords

fixed pointcontinuous t-normMenger PM-spaces

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)

Related Items (7)

New multipled common fixed point theorems in Menger PM-spaces ⋮ \(p-\)cyclic \(C\)-contraction result in Menger spaces using a control function ⋮ On Caristi's fixed point theorem and completeness of probabilistic metric spaces ⋮ Some new fixed point results under constraint inequalities in comparable complete partially ordered Menger PM-spaces ⋮ A use of pair (F; h) upper class on some fixed point results in probabilistic Menger space ⋮ A probabilistic fixed point result using altering distance functions ⋮ Multivalued generalizations of fixed point results in fuzzy metric spaces

Cites Work

• Fixed point theorems in probabilistic metric spaces
• Altering distances in probabilistic Menger spaces
• A fixed point result in Menger spaces using a real function
• Contraction maps on probabilistic metric spaces
• A fixed point theorem for multivalued mappings in probabilistic metric spaces and an application in fuzzy metric spaces
• Multivalued generalizations of probabilistic contractions
• A new contraction principle in Menger spaces
• Nonlinear generalized contractions on Menger PM spaces
• Fixed point theorems by altering distances between the points
• Fixed points of contraction mappings on probabilistic metric spaces
• Statistical Metrics

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