Common fixed point theorems involving two pairs of weakly compatible mappings in \(K\)-metric spaces

DOI10.1016/j.aml.2011.02.016zbMath1243.54075OpenAlexW2001794727MaRDI QIDQ533489

Bessem Samet

Publication date: 3 May 2011

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2011.02.016

zbMATH Keywords

fixed pointcommon fixed pointcoincidence pointweakly compatible mappings\(K\)-metric space.Nonlinear contractions

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25)

Related Items (4)

Coincidence and fixed point theorems for generalized \((\psi,\phi)\)-weak nonlinear contraction in ordered \(K\)-metric spaces ⋮ The existence of cone critical point and common fixed point with applications ⋮ Common fixed point theorems for infinite families of contractive maps ⋮ Some results in quasi-\(b\)-metric-like spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Compatible and weakly compatible mappings in cone metric spaces
• Contraction and approximate contraction with an application to multi- point boundary value problems
• A note on cone metric fixed point theory and its equivalence
• Cone metric spaces and fixed point theorems of contractive mappings
• Non-self mappings satisfying non-linear contractive condition with applications
• Some notes on the paper ``Cone metric spaces and fixed point theorems of contractive mappings
• Common fixed points under contractive conditions in cone metric spaces
• On common fixed point theorems for non-self hybrid mappings in convex metric spaces
• Monotone generalized nonlinear contractions in partially ordered metric spaces
• Fixed and periodic point results in cone metric spaces
• Some generalizations of fixed point theorems in cone metric spaces
• \(K\)-metric and \(K\)-normed linear spaces: Survey
• Fixed points for set valued functions without continuity
• Common fixed points in cone metric spaces
• Common fixed point results for noncommuting mappings without continuity in cone metric spaces
• Common fixed points for maps on cone metric space
• Newton’s Method for Convex Operators in Partially Ordered Spaces
• A Generalization of a Fixed Point Theorem of Reich

This page was built for publication: Common fixed point theorems involving two pairs of weakly compatible mappings in \(K\)-metric spaces