Common property (E.A) and existence of fixed points in Menger spaces

DOI10.1186/1029-242X-2014-56zbMath1310.54040OpenAlexW2171914808WikidataQ59318735 ScholiaQ59318735MaRDI QIDQ2258762

Wutiphol Sintunavarat, Jelena Vujaković, Sunny Chauhan, Sumitra Dalal

Publication date: 26 February 2015

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

Full work available at URL: https://doi.org/10.1186/1029-242x-2014-56

zbMATH Keywords

t-normweakly compatible mappingsMenger spaceproperty (E.A)common property (E.A)

Mathematics Subject Classification ID

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

Related Items (3)

Multidimensional common fixed point theorems under probabilistic \(\varphi\)-contractive conditions in multidimensional Menger probabilistic metric spaces ⋮ Common fixed point theorems for probabilistic nearly densifying mappings ⋮ Multivariate contraction mapping principle in Menger probabilistic metric spaces

Cites Work

• Coupled fixed point results for \((\psi,\phi)\)-weakly contractive mappings in ordered \(G\)-metric spaces
• Stability results for Jungck-type iterative processes in convex metric spaces
• Coincidence and common fixed point theorems for nonlinear contractions in Menger PM spaces
• Compatible and weakly compatible mappings in cone metric spaces
• A note on a common fixed point theorem in probabilistic metric spaces
• Common fixed point theorems in Menger spaces with common property (E.A)
• Common fixed points of strict contractions in Menger spaces
• Some new common fixed point theorems under strict contractive conditions
• A fixed point theorem in Menger space through weak compatibility
• Statistical metric spaces
• Common fixed point theorems of compatible and weakly compatible maps in Menger spaces
• Fixed points in fuzzy metric spaces
• Common fixed point theorems for contractive maps
• Common fixed point of power contraction mappings satisfying (E.A) property in generalized metric spaces
• Nonlinear contraction theorems in probabilistic spaces
• Common fixed point theorems under strict contractive conditions in Menger spaces
• A common fixed point theorem using implicit relation and property (E.A) in metric spaces
• Statistical Metrics

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