Best proximity pair theorems

zbMath1021.47027MaRDI QIDQ5946517

P. Veeramani, Devidas Pai, S. Sadiq Basha

Publication date: 27 February 2002

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

approximately \(p\)-compact setbest proximity pair theoremsKakutani factorizable multifunctionKakutani multifunctionupper semi-continuous multifunction

Mathematics Subject Classification ID

Set-valued operators (47H04)

Related Items (34)

Some results on best proximity point on star-shaped sets in probabilistic Banach (Menger) spaces ⋮ The existence and convergence of best proximity points for generalized proximal contraction mappings ⋮ Generalization of best proximity points theorem for non-self proximal contractions of first kind ⋮ Best proximity point theorems: resolution of an important non-linear programming problem ⋮ Best proximity point theorems for generalized proximal contractions ⋮ Coupled best proximity point theorem in metric spaces ⋮ A best proximity point theorem for \(\alpha \)-proximal Geraghty non-self mappings ⋮ Generalized proximal \(\psi\)-contraction mappings and best proximity points ⋮ Best proximity points for asymptotic proximal pointwise weaker Meir-Keeler-type \(\psi\)-contraction mappings ⋮ Some common best proximity points for proximity commuting mappings ⋮ Best proximity points: Global optimal approximate solutions ⋮ Best proximity points: approximation and optimization ⋮ Common best proximity points: Global optimal solutions ⋮ Common best proximity points: global optimization of multi-objective functions ⋮ Common best proximity points: global minimal solutions ⋮ Best proximity point theorems: an exploration of a common solution to approximation and optimization problems ⋮ Best proximity point theorems ⋮ Global optimal approximate solutions ⋮ Best proximity point theorems for weak contraction mapping in \(b\)-generalized pseudodistances ⋮ Best proximity points: Optimal solutions ⋮ Common best proximity points theorems in metric spaces ⋮ Existence and uniqueness of best proximity points for generalized almost contractions ⋮ Best proximity point theorems for generalized \(\alpha\)-\(\beta\)-proximal quasi-contractive mappings ⋮ Best proximity point theorems for rational proximal contractions ⋮ A best proximity point theorem for generalized non-self-Kannan-type and Chatterjea-type mappings and Lipschitzian mappings in complete metric spaces ⋮ Common best proximity points: global minimization of multi-objective functions ⋮ Optimal solutions for nonlinear proximal -contraction mapping in metric space ⋮ Optimal approximate solutions of fixed point equations ⋮ The existence theorems of an optimal approximate solution for generalized proximal contraction mappings ⋮ Best proximity pair theorem in metrizable topological vector spaces ⋮ Best approximation theorems for nonexpansive and condensing mappings in hyperconvex spaces ⋮ Best proximity point theorems on rectangular metric spaces endowed with a graph ⋮ Convergence and best proximity points for Berinde's cyclic contraction with proximally complete property ⋮ Best Proximity Points

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