Best proximity point theorems: resolution of an important non-linear programming problem

DOI10.1007/s11590-012-0493-5zbMath1298.90075OpenAlexW2070300911MaRDI QIDQ360494

S. Sadiq Basha

Publication date: 27 August 2013

Published in: Optimization Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11590-012-0493-5

zbMATH Keywords

global optimizationcontractionfixed pointnonlinear programmingbest proximity pointweak contractionproximal contractionoptimal approximate solutionproximal cyclic contractiongeneralized proximal contractiongeneralized proximal cyclic contraction

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26)

Related Items (3)

Best proximity point results in generalized metric spaces ⋮ SOME FIXED POINT THEORY RESULTS FOR CONVEX CONTRACTION MAPPING OF ORDER 2 ⋮ Existence and convergence results for best proximity points in cone metric spaces

Cites Work

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• A best proximity point theorem for weakly contractive non-self-mappings
• On cyclic Meir-Keeler contractions in metric spaces
• Best proximity points: Global optimal approximate solutions
• Common best proximity points: Global optimal solutions
• Best proximity point theorems
• Common best proximity points: global minimization of multi-objective functions
• Existence and convergence of best proximity points
• Erratum to: ``Best proximity points for cyclic and noncyclic set-valued relatively quasi-asymptotic contractions in uniform spaces [Nonlinear Anal. (2008), doi: 10.1016/j.na.2008.04.037]
• Existence and uniqueness of best proximity points in geodesic metric spaces
• Best proximity points: convergence and existence theorems for \(p\)-cyclic mappings
• Best proximity sets and equilibrium pairs for a finite family of multimaps
• Best proximity points for cyclic and noncyclic set-valued relatively quasi-asymptotic contractions in uniform spaces
• Convergence and existence results for best proximity points
• Best proximity point theorems for \(p\)-cyclic Meir--Keeler contractions
• Proximal pointwise contraction
• Convergence theorems, best approximation and best proximity for set-valued dynamic systems of relatively quasi-asymptotic contractions in cone uniform spaces
• Frontiers in global optimization
• Some theorems on weakly contractive maps.
• State of the art in global optimization: computational methods and applications. Papers of the conference, Princeton, NJ, USA, April 28--30, 1995
• Common best proximity points: global minimal solutions
• Best proximity pair theorems for multifunctions with open fibres
• Best proximity points for cyclic Meir-Keeler contractions
• Common best proximity points: global optimization of multi-objective functions
• On general best proximity pairs and equilibrium pairs in free abstract economies
• Best proximity pairs and equilibrium pairs for Kakutani multimaps
• Best proximity pair theorems for relatively nonexpansive mappings
• Encyclopedia of Optimization
• Extensions of Banach's Contraction Principle
• Proximinal Retracts and Best Proximity Pair Theorems
• Proximal normal structure and relatively nonexpansive mappings
• Best proximity pair theorems

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