Some generalizations of fixed point theorems in cone metric spaces

DOI10.1155/2009/657914zbMath1203.54043OpenAlexW1968150901WikidataQ59220049 ScholiaQ59220049MaRDI QIDQ1035119

Johnson O. Olaleru

Publication date: 10 November 2009

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

Full work available at URL: https://eudml.org/doc/45698

Mathematics Subject Classification ID

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

Related Items (14)

A hybrid class of expansive-contractive mappings in cone \(b\)-metric spaces ⋮ Approximation of point of coincidence and common fixed points of quasi-contraction mappings using the Jungck iteration scheme ⋮ Coupled fixed point results in cone metric spaces for \(\widetilde w\)-compatible mappings ⋮ Remarks on some recent fixed point theorems ⋮ Tripled fixed point of \(W\)-compatible mappings in abstract metric spaces ⋮ Abstract metric spaces and Hardy-Rogers-type theorems ⋮ Unnamed Item ⋮ On cone metric spaces: a survey ⋮ Fixed point theorem of generalized operator quasi-contractive mapping in cone metric space ⋮ Common fixed point theorems involving two pairs of weakly compatible mappings in \(K\)-metric spaces ⋮ Iterative approximation of fixed points of quasi-contraction mappings in cone metric spaces ⋮ Common tripled fixed point theorems for \(W\)-compatible mappings along with the \(CLR_g\) property in abstract metric spaces ⋮ Multipled fixed point theorems in cone metric spaces ⋮ Fixed point results for Geraghty quasi-contraction type mappings in dislocated quasi-metric spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Common fixed point theorems of Gregus type for weakly compatible mappings satisfying contractive conditions of integral type
• Cone metric spaces and fixed point theorems of contractive mappings
• Some notes on the paper ``Cone metric spaces and fixed point theorems of contractive mappings
• Some extensions of Banach's contraction principle in complete cone metric spaces
• Common fixed point theorems for weakly compatible pairs on cone metric spaces
• Topological vector spaces. The theory without convexity conditions
• Fixed points for set valued functions without continuity
• Common fixed points in cone metric spaces
• An extension of Gregus fixed point theorem
• Common fixed point results for noncommuting mappings without continuity in cone metric spaces
• Best Approximation in a Class of Normed Spaces with Star-Shaped Cone
• A Generalization of a Fixed Point Theorem of Reich

This page was built for publication: Some generalizations of fixed point theorems in cone metric spaces