Convexity and Optimization of Set-Valued Mapping in Vector Space

摘要：

In order to discuss set-valued optimization under some weaker conditions in real linear topological space, the generalized subconvexlike set-valued mapping is defined in terms of cones and an alternative theorem is established for generalized subconvexlike set-valued mapping, which is used to discuss the optimal condition for set-valued optimization. As results, some optimal conditions are obtained in the form of Lagrange multiplier, a Lagrangian duality theorem is developed at the same time.

关键词： set-valuedmapping generalized subconvexlike alternative theorem optimal conditions Lagrangian multiplier

作者: Xiuhong Liu

作者单位: Dept. of Mathematics and Statistics Shandong University of Finance Jinan 250014, P.R. China

会议类型: 国际会议

会议名称: The Third International Joint Conference on Computational Science and Optimization(第三届计算科学与优化国际大会 CSO 2010)

会议地点: 黄山

会议语种:英文

页码: 317-320

在线出版日期: 2010-05-28（万方平台首次上网日期，不代表论文的发表时间）