Best proximity points of contractive mappings on a metric space with a graph and applications

DOI10.4995/AGT.2017.3424zbMath1362.54045OpenAlexW2604585061MaRDI QIDQ2974435

Asrifa Sultana, Vellaichamy Vetrivel

Publication date: 7 April 2017

Published in: Applied General Topology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4995/agt.2017.3424

zbMATH Keywords

graphcontractionfixed pointmetric spacebest proximity point\(P\)-property

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25)

Related Items (3)

Uniqueness of best proximity pairs and rigidity of semimetric spaces ⋮ Bipartite graphs and best proximity pairs ⋮ On best proximity point theorems in locally convex spaces endowed with a graph

Cites Work

• Unnamed Item
• Best proximity points: approximation and optimization in partially ordered metric spaces
• Fixed points of Mizoguchi-Takahashi contraction on a metric space with a graph and applications
• Existence of best proximity pairs and equilibrium pairs
• The Hutchinson-Barnsley theory for certain non-contraction mappings
• Fixed point results for multivalued contractions on a metric space with a graph
• On general best proximity pairs and equilibrium pairs in free abstract economies
• Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations
• Extensions of two fixed point theorems of F. E. Browder
• An Extension of Banach's Contraction Principle
• Proximinal Retracts and Best Proximity Pair Theorems
• A fixed point theorem in partially ordered sets and some applications to matrix equations
• On the existence of best proximity points for generalized contractions
• The contraction principle for mappings on a metric space with a graph

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