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existence of a semistationary point is equivalent to the linear separation between the image of the approximated problem and a …
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In this paper we consider a vector optimization problem; we present some scalarization techniques for finding all the vector optimal points of this problem and we discuss the relationships between these methods. Moreover, in the linear case, the study of dual variables is carried on by means of...
Persistent link: https://www.econbiz.de/10005042204
The paper deals with vector constrained extremum problems. A separation scheme is recalled; starting from it, a vector … Lagrangian duality theory is developed. The linear duality due to Isermann can be embedded in this separation approach. Some …
Persistent link: https://www.econbiz.de/10008566273
For various classes of vector optimization problems, necessary and sufficient optimality conditions are developed in terms of first order tangent cones and second order tangent sets and cones. Additional remarks are also made.
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