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Optimality Conditions and Lagrange Duality for Vector Extremum Problems with Set Constraint
Authors:Z. M. Li  M. H. Zhan
Affiliation:(1) Institute of Mathematics and Physics, Chongqing University, Chongqing, China
Abstract:The necessary and sufficient optimality conditions for vector extremum problems with set constraint in an ordered linear topological space are given. Finally, Lagrange duality is established.
Keywords:Set constraints  Vector extremum problems  Optimality conditions  Lagrange duality  Feasible directions  G-differentials  Subconvexlike mappings  Theorems of the alternative
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