A generalized contraction principle under \(w\)-distance for a partially ordered metric space

DOI10.1007/S40840-016-0347-XzbMath1453.54013OpenAlexW2321239451MaRDI QIDQ2399723

Sachin Vashistha, Rakesh Batra

Publication date: 24 August 2017

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-016-0347-x

zbMATH Keywords

fixed point\(w\)-distancecomplete metric spacecoincidence pointmixed \(g\)-monotone property

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) Fredholm integral equations (45B05)

Related Items (1)

An extension of Lakzian-Rhoades results in the structure of ordered b-metric spaces via \(wt\)-distance with an application

Cites Work

• Unnamed Item
• Common fixed point theorems on generalized distance in ordered cone metric spaces
• \((\psi,\alpha ,\beta )\)-weak contractions in partially ordered metric spaces
• Fixed point theorems for weakly contractive mappings in partially ordered sets
• A coupled coincidence point result in partially ordered metric spaces for compatible mappings
• Common fixed point theorems for ordered contractions and quasicontractions in ordered cone metric spaces
• Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces
• Fixed points for set valued functions without continuity
• Abstract comparison principles and multivariable Gronwall-Bellman inequalities
• Compatible mapping and common fixed points
• Coupled coincidence point theorems for nonlinear contractions under c-distance in cone metric spaces
• A generalized weak contraction principle with applications to coupled coincidence point problems
• Existence and uniqueness of fixed point in partially ordered sets and applications to ordinary differential equations
• Fixed point theorems in partially ordered metric spaces and applications
• Coupled coincidence point theorems for nonlinear contractions under (F,g) -invariant set in cone metric spaces
• A fixed point theorem in partially ordered sets and some applications to matrix equations

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