Fixed point theorems for a generalized almost \((\phi ,{\varphi})\)-contraction with respect to \(S\) in ordered metric spaces

DOI10.1186/1029-242X-2012-263zbMath1304.54097WikidataQ59272133 ScholiaQ59272133MaRDI QIDQ387941

Jong Kyu Kim, Poom Kumam, Wutiphol Sintunavarat

Publication date: 17 December 2013

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

zbMATH Keywords

metric spacecommon fixed pointcoincidence point\(T\)-weakly commuting mappingsgeneralized multi-valued \((\phi,\varphi)\)-weak contraction

Mathematics Subject Classification ID

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

Related Items (1)

Fixed points for weak \(\alpha\)-\(\psi\)-contractions in partial metric spaces

Cites Work

• Weak condition for generalized multi-valued \((f,\alpha ,\beta )\)-weak contraction mappings
• Common fixed points of almost generalized contractive mappings in ordered metric spaces
• Common fixed point theorem for hybrid generalized multi-valued contraction mappings
• Common fixed point theorems for \(c\)-distance in ordered cone metric spaces
• Common fixed point theorems for non-self-mappings in metric spaces of hyperbolic type
• Cone metric spaces and fixed point theorems of contractive mappings
• Compatible mapping and common fixed points
• A fixed point theorem in partially ordered sets and some applications to matrix equations
• Some Remarks Concerning Contraction Mappings
• Fixed point theorems in metric spaces

This page was built for publication: Fixed point theorems for a generalized almost \((\phi ,{\varphi})\)-contraction with respect to \(S\) in ordered metric spaces