On \(\mathcal P\)-contractions in ordered metric spaces

DOI10.1186/1687-1812-2012-219zbMath1278.54024OpenAlexW2114431165WikidataQ59288984 ScholiaQ59288984MaRDI QIDQ383893

Wutiphol Sintunavarat, Poom Kumam, Parin Chaipunya

Publication date: 6 December 2013

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

Full work available at URL: https://doi.org/10.1186/1687-1812-2012-219

zbMATH Keywords

metric spacepartially ordered set\(\mathcal P\)-contraction\(\mathcal P\)-function

Mathematics Subject Classification ID

Partial orders, general (06A06) Metric spaces, metrizability (54E35) Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Total orders (06A05)

Related Items

Fixed point results for generalized \(F\)-contractions in modular metric and fuzzy metric spaces ⋮ On \(p\)-common best proximity point results for \(\mathcal S\)-weakly contraction in complete metric spaces ⋮ A fixed point problem with constraint inequalities via an implicit contraction ⋮ A new class of \(\mathcal{S}\)-contractions in complete metric spaces and \(\mathcal{G_{P}}\)-contractions in ordered metric spaces ⋮ Unnamed Item ⋮ Fixed points for weak \(\alpha\)-\(\psi\)-contractions in partial metric spaces ⋮ Some existence of coincidence point and approximate solution method for generalizedweak contraction in b-generalized pseudodistance fiunctionsy ⋮ Weak contractive integral inequalities and fixed points in modular metric spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Fixed point theorems for contraction mappings in modular metric spaces
• Coincidence and fixed points for contractions and cyclical contractions in partial metric spaces
• Tripled fixed point of \(W\)-compatible mappings in abstract metric spaces
• Coupled fixed-point theorems for contraction mapping induced by cone ball-metric in partially ordered spaces
• Fixed-point theorems for multivalued mappings in modular metric spaces
• Coupled fixed point theorems for weak contraction mappings under \(F\)-invariant set
• Erratum to ``Fixed-point theorems for multivalued mappings in modular metric spaces
• Weak condition for generalized multi-valued \((f,\alpha ,\beta )\)-weak contraction mappings
• Fixed point theorems for weakly contractive mappings in partially ordered sets
• Some theorems on weakly contractive maps.
• Geraghty-type theorems in modular metric spaces with an application to partial differential equation
• Solving the Banach fixed point principle for nonlinear contractions in probabilistic metric spaces
• A Generalization of Banach's Contraction Principle
• A generalized Banach contraction principle that characterizes metric completeness