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Arcwise Connected Cone-Convex Functions and Mathematical Programming
Authors:JY Fu  YH Wang
Institution:(1) Department of Mathematics and System Science, Nanchang University, Nanchang, Jiangxi, China;(2) Department of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang, China
Abstract:The concept of arcwise connected cone-convex functions in topological vector spaces is introduced. Optimality conditions and duality theorems for a vector-valued nonlinear programming problem involving arcwise connected cone-convex functions are discussed.
Keywords:Arcwise connected cone-convex functions  vector-valued Lagrangian  saddle points  optimality conditions
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