Coupled fixed point results for mappings without mixed monotone property in partially ordered G-metric spaces

DOI10.1016/j.joems.2013.12.007zbMathNoneOpenAlexW2045481997MaRDI QIDQ467085

Sayyed Hashem Rasouli, M. H. Malekshah

Publication date: 3 November 2014

Published in: Journal of the Egyptian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.joems.2013.12.007

zbMATH Keywords

coupled fixed pointmixed monotone propertypartially ordered \(G\)-metric space

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Cites Work

• Coupled fixed point theorems for nonlinear contractions without mixed monotone property
• Coupled coincidence point and common coupled fixed point theorems lacking the mixed monotone property
• Coupled fixed point theorems for nonlinear contractions in partially ordered \(G\)-metric spaces
• Fixed point theorems in generalized partially ordered G-metric spaces
• Generalized coupled fixed point theorems for mixed monotone mappings in partially ordered metric spaces
• Coupled fixed point results in generalized metric spaces
• A coupled coincidence point result in partially ordered metric spaces for compatible mappings
• Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces
• Common coupled fixed point theorems for \(w^*\)-compatible mappings without mixed monotone property
• Property P in G-metric spaces
• Fixed point theorems in partially ordered metric spaces and applications
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