The Optimality Conditions of Weak Efficient Solutions for the Optimization Problem of a Class of Generalized Convex Set-valued Mapping

Qilin Wang · Journal of Sichuan Normal University · 2007

In this paper,the concept of (u,0V)-generalized subconvexlike map is defined in topological vector spaces.Under the relative interior,the alternative theorem of the map is estabished by the convex set separation theorem.Finally,using the altenative theorem,the optimality conditions of weak efficient solutions for the optimization problem with generalized equality and inequality constraints are obtained.

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