Some properties of approximate solutions for vector optimization problem with set-valued functions |
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Authors: | Qiusheng Qiu Xinmin Yang |
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Institution: | (1) Department of Mathematics, Nanchang University, Nanchang, 330047, China |
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Abstract: | In this paper, we study the approximate solutions for vector optimization problem with set-valued functions. The scalar characterization
is derived without imposing any convexity assumption on the objective functions. The relationships between approximate solutions
and weak efficient solutions are discussed. In particular, we prove the connectedness of the set of approximate solutions
under the condition that the objective functions are quasiconvex set-valued functions. |
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Keywords: | |
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