Author： Tong Zishuang
Publisher： Taylor & Francis Ltd
ISSN： 0020-7160
Source： International Journal of Computer Mathematics, Vol.87, Iss.1, 2010-01, pp. : 158-172
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Abstract
Under a new kind of generalized convexity and non-smooth generalized ([image omitted] , α, ρ, θ)-d-V-univexity, some basic alternative theorems are established and proved. These results extend some other generalized convex alternative theorems. To illustrate their applications, we present characterizations of saddle-point type necessary optimality conditions for properly efficient solutions of vector optimization problems. To conclude, the alternative theorems are applied to yield a canonical convex alternative theorem as a corollary.
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