On the existence and the uniqueness of fixed points of Sehgal contractions

DOI10.1016/j.fss.2005.05.024zbMath1082.54022OpenAlexW2122598810MaRDI QIDQ812565

Dorel Miheţ

Publication date: 24 January 2006

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

Full work available at URL: https://doi.org/10.1016/j.fss.2005.05.024

zbMATH Keywords

fuzzy metric spaceMenger spaceSehgal contraction

Mathematics Subject Classification ID

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

Related Items (17)

Fixed point theorems for multivalued and single-valued contractive mappings on Menger PM spaces with applications ⋮ Coincidence point theorems in probabilistic and fuzzy metric spaces ⋮ A fixed point theorem for a special class of probabilistic contraction ⋮ Fixed point and endpoint theorems for set-valued fuzzy contraction maps in fuzzy metric spaces ⋮ A note on a fixed point theorem in Menger probabilistic quasi-metric spaces ⋮ A coincidence point result in Menger spaces using a control function ⋮ Common fixed point theorem for a hybrid pair of mappings in Hausdorff fuzzy metric spaces ⋮ \(G\)-completeness and \(M\)-completeness in fuzzy metric spaces: a note on a common fixed point theorem ⋮ Fixed point theorems for nonlinear contractions in Kaleva-Seikkala's type fuzzy metric spaces ⋮ Fuzzy fixed point theorems in Hausdorff fuzzy metric spaces ⋮ Set-valued mappings in partially ordered fuzzy metric spaces ⋮ A class of contractions in fuzzy metric spaces ⋮ Fixed points of Suzuki type generalized multivalued mappings in fuzzy metric spaces with applications ⋮ A generalized contraction principle in menger spaces using a control function ⋮ Common fixed point theorems under strict contractive conditions in Menger spaces ⋮ Monotone generalized contractions in partially ordered probabilistic metric spaces ⋮ A fixed point result in Menger spaces using a real function

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• A common fixed point theorem in a fuzzy metric space
• On fixed-point theorems in fuzzy metric spaces
• On fixed point theorems of Gregori and Sapena
• Complete probabilistic metric spaces
• Fixed points of contraction mappings on probabilistic metric spaces
• On some results in fuzzy metric spaces

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