Common best proximity point theorems: global minimization of some real-valued multi-objective functions

DOI10.1007/s11784-016-0295-yzbMath1386.90120OpenAlexW2473174862MaRDI QIDQ343887

Naseer Shahzad, S. Sadiq Basha

Publication date: 29 November 2016

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11784-016-0295-y

zbMATH Keywords

fixed pointbest proximity pointcommon best proximity pointmulti-objective global minimization

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Nonlinear programming (90C30)

Related Items (8)

Cyclic pairs and common best proximity points in uniformly convex Banach spaces ⋮ Relative Continuity, Proximal Boundedness and Best Proximity Point Theorems ⋮ Unnamed Item ⋮ Best Proximity Point Theorems for Some Special Proximal Contractions ⋮ Coupled best approximation theorems for discontinuous operators in partially ordered Banach spaces ⋮ Existence and convergence theorems for Bregman best proximity points in reflexive Banach spaces ⋮ Unnamed Item ⋮ Best approximation theorems for almost cyclic contractions

Cites Work

• On best proximity pair theorems for relatively \(u\)-continuous mappings
• Common best proximity points: Global optimal solutions
• Best proximity point theorems generalizing the contraction principle
• Best proximity points of cyclic \(\varphi\)-contractions in ordered metric spaces
• Existence and convergence of best proximity points
• The existence of best proximity points in metric spaces with the property UC
• Existence and uniqueness of best proximity points in geodesic metric spaces
• Best proximity points: convergence and existence theorems for \(p\)-cyclic mappings
• Best proximity points for cyclic and noncyclic set-valued relatively quasi-asymptotic contractions in uniform spaces
• Convergence and existence results for best proximity points
• Generalized cyclic contractions in partially ordered metric spaces
• Best proximity point theorems for generalized cyclic contractions in ordered metric spaces
• Best proximity pair theorems for multifunctions with open fibres
• Pythagorean property and best-proximity point theorems
• Best proximity points for cyclic Meir-Keeler contractions
• Best proximity point theorems: exposition of a significant nonlinear programming problem
• Commuting Mappings and Fixed Points
• Proximinal Retracts and Best Proximity Pair Theorems
• Best proximity points for cyclic mappings in ordered metric spaces

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