Some characterizations of ideal points in vector optimization problems

DOI10.1155/2008/231845zbMath1211.90206OpenAlexW2039932583MaRDI QIDQ938426

Yan-Fei Chai, Yeol Je Cho, Jun Li

Publication date: 19 August 2008

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/117080

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29)

Related Items (3)

Continuity of the solution mapping to parametric generalized vector equilibrium problems ⋮ Existence and uniqueness of solution for quasi-equilibrium problems and fixed point problems on complete metric spaces with applications ⋮ Composite schemes for variational inequalities over equilibrium problems and variational inclusions

Cites Work

• Some geometrical aspects of the efficient line in vector optimization
• Weak efficiency in vector optimization using a closure of algebraic type under cone-convexlikeness.
• Efficient and weak efficient points in vector optimization with generalized cone convexity
• Contractibility of efficient frontier of simply shaded sets
• A geometrical analysis of the efficient outcome set in multiple objective convex programs with linear criterion functions
• Density of the set of positive proper minimal points in the set of minimal points
• Explicitly quasiconvex set-valued optimization
• Super Efficiency in Vector Optimization
• Density theorems for ideal points in vector optimization

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