锥预不变凸映射

Cone Preinvex Mappings

研究拓扑向量空间锥半严格预不变凸映射和锥预不变凸映射的性质,证明了锥半严格预不变凸映射的局部弱有效解与锥预不变凸映射的局部有效解都是全局有效解,给出它们的一个梯度性质。

Cone semistrictly preinvex mapping in a topological vector space is introduced.Some properties on it and cone preinvex mapping are presented. A result that locally weak efficient solution about the mapping is global efficient solution is obtained.The gradient on Frechet differentiable cone preinvex mapping is characterized.