(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.