Optimality Conditions of Weak Efficient Solutions for Optimization Problems of One Class of Generalized Convex Set-valued Mapping

Song Yong-min · Journal of Chengdu University · 2014

This paper defines the concept of nearly C-subconvexlike function in topological vector spaces, and then establishes the alternative theorem of the nearly-subconvexlike function by the convex set separation theorem. Finally,using the alternative theorem,we obtain the optimality conditions of weak efficient solutions for the optimization problems with generalized equality and inequality constraints.

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