G-α-preinvex functions and non-smooth vector optimization problems
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In this paper, we proposed the non-smooth G-?-preinvexity by generalizing ?-invexity and G-preinvexity, and discussed some solution properties about non-smooth vector optimization problems and vector variational-like inequality problems under the condition of non-smooth G-?-preinvexity. Moreover, we also proved that the vector critical points, the weakly efficient points and the solutions of the non-smooth weak vector variational-like inequality problem are equivalent under non-smooth pseudo-G-?-preinvexity assumptions.
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2007 ◽
Vol 56
(1)
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pp. 137-156
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2001 ◽
Vol 53
(2)
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pp. 205-214
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2012 ◽
Vol 91
(10)
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pp. 1811-1829
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2008 ◽
Vol 44
(1)
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pp. 111-130
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