Fixed point theorems for \(\psi\)-contractive mappings in ordered metric spaces

DOI10.1155/2012/756453zbMath1235.54027OpenAlexW2011452460WikidataQ58907299 ScholiaQ58907299MaRDI QIDQ411087

J. Herrera, H. S. Yoon

Publication date: 4 April 2012

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

Full work available at URL: https://doi.org/10.1155/2012/756453

Mathematics Subject Classification ID

Complete metric spaces (54E50) 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

Modified \({\psi}\)-contractive mappings in ordered metric spaces and applications, Fixed point theorem for cyclic \(( \mu, \psi, \phi )\)-weakly contractions via a new function, Fixed point results for \(\{\alpha, \xi\}\)-expansive locally contractive mappings, On fixed points of \(\alpha\)-\(\psi\)-contractive multivalued mappings in cone metric spaces, Common fixed points for weak \(\psi\)-contractive mappings in ordered metric spaces with applications

Cites Work

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• Fixed point theorems for weakly \(C\)-contractive mappings in ordered metric spaces
• A fixed point theorem for mappings satisfying a contractive condition of rational type on a partially ordered metric space
• Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations
• A Generalization of Banach's Contraction Principle
• A fixed point theorem in partially ordered sets and some applications to matrix equations