Optimality conditions for approximate solutions ofvector optimization problems

Ying Gao, Xinmin Yang, Kok Lay Teo · Journal of Industrial and Management Optimization · 2011

In this paper, we introduce a new kind of properly approximate efficient solution of vector optimization problems. Some properties for this new classof approximate solutions are established. Also necessary and sufficient conditions via nonlinear scalarizations areobtained for properly approximate solutions. And under theassumption of cone subconvexlike functions, we derive linearscalarizations for properly approximate efficient solutions.

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