Weakly Efficient Solution and Optimality Condition for Non-smooth Vector Maximization Problem

Xiu Chen · Yunchou yu guanli · 2000

In the paper, relations among Hartley's, Borwein's and Benson's proper efficient solutions to vector maximization problems(VMP) are discussed, their equivalent real valued maximization problem is obtained, the sufficient condition of generalized KT proper efficient solution to (VM) is established, and the optimality conditions for vector minimization problems(VP) with cone locally convex, quasiconvex and pseudoconvex objective and constrained functions are given.

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