ON SECOND ORDER NECESSARY OPTIMALITY CONDITIONS FOR VECTOR OPTIMIZATION PROBLEMS

Title & Authors
ON SECOND ORDER NECESSARY OPTIMALITY CONDITIONS FOR VECTOR OPTIMIZATION PROBLEMS
Lee, Gue-Myung; Kim, Moon-Hee;

Abstract
Second order necessary optimality condition for properly efficient solutions of a twice differentiable vector optimization problem is given. We obtain a nonsmooth version of the second order necessary optimality condition for properly efficient solutions of a nondifferentiable vector optimization problem. Furthermore, we prove a second order necessary optimality condition for weakly efficient solutions of a nondifferentiable vector optimization problem.
Keywords
vector optimization problem;properly efficient solutions;second order necessary optimality conditions;second order contingent set;second order adjacent set;singular approximate subdifferential;(Mordukhovich) normal cone;
Language
English
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