Vector Optimization Involving Preinvez Functions in Banach Spaces
In this paper, we deal with a vector optimization problem where all functions involved are preinvex functions between Banach spaces. Based upon the properties of a La-grangian mapping and convex cones, the saddle point conditions and duality theorems are proposed. Finally, the relationship between a vector variational inequality and an unconstraint vector optimization problem is discussed. The results deepen and enrich the content of optimization theory and applications.
Guolin Yu
Research Institute of Information and System Computation Science The North University for Ethnics Yinchuan 750021, P.R.China
国际会议
三亚
英文
1761-1765
2009-04-24（万方平台首次上网日期，不代表论文的发表时间）