Pshenichnyi's theorem for vector minimization

DOI10.1007/BF00939223zbMath0595.90080OpenAlexW2041705020MaRDI QIDQ1078083

Charles W. Swartz

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1007/bf00939223

zbMATH Keywords

Pareto optimal solutionsdual conessubgradientsvector-valued objective functionfeasible directionsPshenichnyi's condition

Mathematics Subject Classification ID

Sensitivity, stability, parametric optimization (90C31)

Related Items

First and second-order optimality conditions for convex composite multiobjective optimization, Optimality conditions for multiobjecttve and nonsmooth minimisation in abstract spaces, Subdifferentials of multifunctions and Lagrange multipliers for multiobjective optimization., \(\varepsilon\)-subdifferentials of set-valued maps and \(\varepsilon\)-weak Pareto optimality for multiobjective optimization, On Lagrance-Kuhn-Tucker Mulitipliers for Muliobjective Optimization Problems, Characterizations of efficient and weakly efficient points in nonconvex vector optimization, Geometrical characterization of weakly efficient points, Optimality conditions for vector optimization problems of a difference of convex mappings

Cites Work

• A general Farkas lemma
• Generalizations of Farkas’ Theorem
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