向量优化问题弱有效解集的非空性和紧性刻画

Characterization of the Nonemptiness and Weak Compactness of Solution Sets of Nonconvex Vector Optimization Problems

考虑有限维空间R^n(n>1)中目标映射是仿凸锥映射的向量优化问题.通过对偶锥的端方向和标量函数的0-强制性给出了弱有效解集非空性和紧性的刻画.

In this paper,the vector optimization problem that the object mapping is cone- paraconvex in finite-dimensional spaceR^n(n>l)are considered.The characterization for the nonemptiness and compactness of the set of weakly efficient solutions of vector optimization problem is given in terms of the O-coercivity of the scalar functions and the extreme direction of dual cone.