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KT-G-invexity in multiobjective programming

T. Antczak, M. Arana-Jimenez

Abstract



In this paper, the weighting method is used for solving the considered nonconvex differentiable multiobjective programming problem and its solvability is examined under G-invexity assumption. Further, a new class of nonconvex differentiable multiobjective programming problems with constraints is considered. The so-called KT-G-invex vector optimization problem is defined and optimality conditions for weakly efficient solutions in such nonconvex optimization problems are established.

Keywords


multiobjective programming; weighting method; G-invex function; G-Karush-Kuhn-Tucker type necessary optimality conditions; KT-G-invexity

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