On Integrated Convex Optimization in Normed Linear Space

摘要：

In this paper, the concept of generalized saddle point(GSP) is employed to discuss the optimization problems of a set of convex functions on a normed linear space X, which presents an equivalence under a special condition between GSP and its optimum solution. A study on integrated convex optimization problem by using G(a)teaux and Fr(e)chet differentiability respectivly,and the equivalent relationships among GSP, G(a)teaux and Fr(e)chet differentiability respectively, and optimum solution are concerned in this paper.

关键词： Convex optimization Sun point G(a)teaux-differentiable Fr(e)chet-differentiable Generalized saddle point Normed linear space

作者: Jinshan Li Xiang-Sun Zhang

作者单位: College of sciences, Beijing Forestry University, Beijing, 100083, China Institute of Applied Mathematics, Chinese Academy of Sciences, Beijing 100190, China

会议类型: 国际会议

会议名称: The Seventh International Symposium(ISORA08)(第七届国际效力研究及其应用学术会议)

会议地点: 云南丽江

会议语种:英文

页码: 496-503

在线出版日期: 2008-10-31（万方平台首次上网日期，不代表论文的发表时间）