On efficient solutions in vector optimization

DOI10.1023/A:1022627520279zbMath0897.90164OpenAlexW109016340MaRDI QIDQ1384062

D. Massart

Publication date: 13 April 1998

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

Full work available at URL: https://doi.org/10.1023/a:1022627520279

zbMATH Keywords

vector optimizationefficient solutionsscalar optimizationweakly efficient solutions

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29)

Related Items (9)

Boundedness and nonemptiness of the efficient solution sets in multiobjective optimization ⋮ Efficiency in quasiconvex multiobjective nondifferentiable optimization on the real line ⋮ Variational convergence for vector-valued functions and its applications to convex multiobjective optimization ⋮ On the existence of weak efficient solutions of nonconvex vector optimization problems ⋮ Existence and boundedness of solutions in infinite-dimensional vector optimization problems ⋮ Enhanced efficiency in multi-objective optimization ⋮ Inner and outer estimates for the solution sets and their asymptotic cones in vector optimization ⋮ Existence of Pareto solutions for vector polynomial optimization problems with constraints ⋮ Recession function and its applications in optimization

Cites Work

• Theory of multiobjective optimization
• The structure of admissible points with respect to cone dominance
• Existence and continuity of solutions for vector optimization
• Characterizations of the nonemptiness and compactness of solution sets in convex vector optimization
• A characterization of weakly efficient points
• Existence and characterization of efficient decisions with respect to cones
• On Approximate Solutions in Convex Vector Optimization
• On the Existence of Pareto Efficient Points
• Convex Analysis

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