Integrated Convez Optimization in Banach Space and its Application to Best Simultaneous Approzimation

摘要：

Concept of locally e-maximal is proposed and employed to explored the optimization problem of a set of convex functions on a Banach space in this paper.Generalized saddle point (GSP) is also used to study the optimization problem ,which is equivalent to the optimal solu tion under the condition of locally e-maximal. An application of the optimization theory to best simultaneous approximation is presented in the paper.

关键词： Convez optimization Best approzimation Generalized saddle point Banach space

作者: Jin-Shan Li Xue-Ling Tian

作者单位: College of Science,Beijing Forest University,Beijing 100083 Institute of Applied Mathematics,Academy School of Maths and Science,Shijiazhuang University of Economy,Shijiazhuang 050031

会议类型: 国际会议

会议名称: The 8th International Symposium on Operations Research and Its Applications(第八届运筹及其应用国际专题讨论会 ISORA09)

会议地点: 张家界

会议语种:英文

页码: 364-371

在线出版日期: 2009-09-20（万方平台首次上网日期，不代表论文的发表时间）