Nonlinear cyclic weak contractions in \(G\)-metric spaces and applications to boundary value problems

DOI10.1186/1687-1812-2012-227zbMath1505.54077OpenAlexW2053210823WikidataQ59272858 ScholiaQ59272858MaRDI QIDQ383881

Mohammad Hasan, H. S. Yoon

Publication date: 6 December 2013

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

Full work available at URL: https://doi.org/10.1186/1687-1812-2012-227

zbMATH Keywords

fixed pointboundary value problemweakly contractive conditioncyclic contractionaltering distance function\(G\)-metric space

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40)

Related Items (1)

\(C^\ast\)-algebra-valued \(G\)-metric spaces and related fixed-point theorems

Cites Work

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• On common fixed points in \(G\)-metric spaces using \((E.A)\) property
• Fixed point theorems for cyclic Meir-Keeler type mappings in complete metric spaces
• Mixed \(g\)-monotone property and quadruple fixed point theorems in partially ordered metric spaces
• Common fixed point theorems for contractive mappings satisfying \(\Phi\)-maps in \(G\)-metric spaces
• Cyclic generalized \(\psi\)-weakly contractive mappings and fixed point results with applications to integral equations
• On cyclic Meir-Keeler contractions in metric spaces
• Coupled fixed point results in generalized metric spaces
• Theorems for Boyd-Wong-type contractions in ordered metric spaces
• Some fixed point theorem for mapping on complete \(G\)-metric spaces
• A generalisation of contraction principle in metric spaces
• Fixed point theorems for contractive mappings in complete \(G\)-metric spaces
• Existence of fixed point results in \(G\)-metric spaces
• Some new common fixed point theorems under strict contractive conditions in \(G\)-metric spaces
• Quadruple fixed point theorems under nonlinear contractive conditions in partially ordered metric spaces
• Some theorems on weakly contractive maps.
• Fixed point theory for contractive mappings satisfying \(\Phi \)-maps in G-metric spaces
• Property P in G-metric spaces
• Coincidence and fixed point results in ordered image-cone metric spaces
• Best proximity points for cyclic Meir-Keeler contractions
• Fixed point theory for cyclic weak \(\phi\)-contraction
• Some results on weakly contractive maps
• Generalized contractions in partially ordered metric spaces and applications to ordinary differential equations
• Fixed point results on complete G-metric spaces
• New fixed point theorems for mappings satisfying a generalized weakly contractive condition with weaker control functions
• Fixed point theorems by altering distances between the points
• Fixed Point Theorems for Mappings Satisfying Inwardness Conditions
• On Nonlinear Contractions

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