Lagrangian multipliers for generalized affine and generalized convex vector optimization problems of set-valued maps
The author proposes several variations of affine set-valued maps, viz., affinelike, preaffinelike, nearaffinelike, and prenearaffinelike. Examples show that these notions are different from each other. A theorem of the alternative of Farkas-Minkowski type is then derived. As applications, Lagrangian multipliers for constrained set-valued optimization problems are discussed and optimality conditions for weakly efficient solutions are obtained.
scientific article; zbMATH DE number 7442625
scientific article