Best proximity points for some classes of proximal contractions

DOI10.1155/2013/713252zbMath1470.54034OpenAlexW2076029741WikidataQ58916697 ScholiaQ58916697MaRDI QIDQ2319000

Francesca Vetro, Naseer Shahzad, Maryam A. Alghamdi

Publication date: 16 August 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/713252

Mathematics Subject Classification ID

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

Related Items (15)

Best proximity point results in non-Archimedean modular metric space ⋮ Best approximation and variational inequality problems involving a simulation function ⋮ Best proximity point results for modified \(\alpha\)-proximal \(C\)-contraction mappings ⋮ Best proximity point theory on vector metric spaces ⋮ \(\phi \)-best proximity point theorems and applications to variational inequality problems ⋮ The existence of best proximity points with the weak \(P\)-property ⋮ A new approach to the generalization of Darbo's fixed point problem by using simulation functions with application to integral equations ⋮ Existence of best proximity points satisfying two constraint inequalities ⋮ On existence and uniqueness of \(g\)-best proximity points under \(\left(\varphi, \theta, \alpha, g\right)\)-contractivity conditions and consequences ⋮ Best proximity point theorems for weakly contractive mapping and weakly Kannan mapping in partial metric spaces ⋮ Existence and uniqueness of a solution for some nonlinear programming problems ⋮ Best proximity point results in dislocated metric spaces via \(R\)-functions ⋮ A coincidence best proximity point problem in \(G\)-metric spaces ⋮ Best proximity point theorems for cyclic p-contractions with some consequences and applications ⋮ Simulation functions and Meir–Keeler condensing operators with application to integral equations

Cites Work

• Unnamed Item
• Unnamed Item
• Best proximity point theorems for generalized proximal contractions
• Best proximity point theorems for reckoning optimal approximate solutions
• Best proximity point theorems: an exploration of a common solution to approximation and optimization problems
• A best proximity point theorem for weakly contractive non-self-mappings
• Best proximity points: Global optimal approximate solutions
• Common best proximity points: Global optimal solutions
• Best proximity point theorems
• Global optimal approximate solutions
• Best proximity points of cyclic \(\varphi\)-contractions in ordered metric spaces
• Existence and convergence of best proximity points
• Best proximity points: convergence and existence theorems for \(p\)-cyclic mappings
• Convergence and existence results for best proximity points
• Some theorems on weakly contractive maps.
• Generalized proximal \(\psi\)-contraction mappings and best proximity points
• Best proximity points: approximation and optimization
• Best proximity pair theorems for multifunctions with open fibres
• A note on `A best proximity point theorem for Geraghty-contractions'
• Existence and convergence theorems of best proximity points
• Best proximity points for cyclic Meir-Keeler contractions
• Extensions of two fixed point theorems of F. E. Browder
• A Comparison of Various Definitions of Contractive Mappings
• Proximinal Retracts and Best Proximity Pair Theorems
• Best proximity points for proximal contractions

This page was built for publication: Best proximity points for some classes of proximal contractions