Some coupled common fixed points for a pair of mappings in partially ordered \(G\)-metric spaces

DOI10.1186/2251-7456-7-24zbMath1295.54044OpenAlexW2142430504WikidataQ59300431 ScholiaQ59300431MaRDI QIDQ405429

Poom Kumam, Sumit Chandok, Wutiphol Sintunavarat

Publication date: 5 September 2014

Published in: Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/2251-7456-7-24

zbMATH Keywords

coupled fixed pointmixed \(g\)-monotone propertyordered \(G\)-metric spaces

Mathematics Subject Classification ID

Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Fixed-point and coincidence theorems (topological aspects) (54H25) Best approximation, Chebyshev systems (41A50) Special maps on metric spaces (54E40)

Related Items (12)

Coupled \(g\)-coincidence point theorems for a generalized compatible pair in complete metric spaces ⋮ Existence of fixed points in quasi metric spaces ⋮ On coupled coincidence point theorems on partially ordered \(G\)-metric spaces without mixed \(g\)-monotone ⋮ Coupled common fixed point theorems for generalized nonlinear contraction mappings with the mixed monotone property in partially ordered metric spaces ⋮ A class of \(\varphi\)-concave operators and applications ⋮ Fixed points of (\({\psi,\phi,\theta}\))-contractive mappings in partially ordered b-metric spaces and application to quadratic integral equations ⋮ \(F\)-closed sets and coupled fixed point theorems without the mixed monotone property ⋮ On the distance between three arbitrary points ⋮ Some multidimensional fixed point theorems on partially preordered \(G^\ast\)-metric spaces under (\(\psi\),\(\phi\))-contractivity conditions ⋮ SOME ASYMPTOTIC GENERALIZED n-TUPLET COINCIDENCE FIXED POINT THEOREMS ⋮ Common fixed points for weak \(\psi\)-contractive mappings in ordered metric spaces with applications ⋮ \((H, F)\)-closed set and coupled coincidence point theorems for a generalized compatible in partially \(G\)-metric spaces

Cites Work

• Common fixed points of Ćirić-type contractive mappings in two ordered generalized metric spaces
• Coupled fixed point results in generalized metric spaces
• Common fixed points, invariant approximation and generalized weak contractions
• Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces
• Fixed point theorems for contractive mappings in complete \(G\)-metric spaces
• Existence of fixed point results in \(G\)-metric spaces
• Some common fixed point theorems for generalized nonlinear contractive mappings
• Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations
• Fixed point theorems in partially ordered metric spaces and applications
• A fixed point theorem in partially ordered sets and some applications to matrix equations
• Some coupled common fixed point theorems for a pair of mappings satisfying a contractive condition of rational type without monotonicity
• Limit behaviour of optimal control problems governed by parabolic boundary value problems with equivalued surface
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