Generalized Convez Mappings and Minimaz Inequality in G-convez Topological Space

摘要：

It is well known that Ky Fan minimax inequality plays an important role in many fields, such as variational inequalities, game theory, mathematical economics and optimization theory, fixed point theory, control theory and so on. Recently, there appears an increasing interest in minimax inequality for vectorvalued mappings in topological vector spaces. For example, Ferro obtained a minimax inequality by a separation theorem of convex sets. Tanaka introduced some quasiconvex vector-valued mappings to discuss minimax inequality. Li and Wang obtained a minimax inequality by using some scalarization functions. Tan obtained a minimax inequality by the generalized GKKM mapping. Verma obtained a minimax inequality by an RKKM mapping. Li and Chen obtained a set-valued minimax inequality by a nonlinear separation function ξ k,a. Ding obtained a minimax inequality by a generalized RKKMmapping. In this paper, some generalized quasi-convex vector-valued mappings are introduced and a generalized minimax inequality is established in G -convex topological space without linear structure.

关键词： minimaz inequality G -convez set G -convez topological space generalized quasi-convez mapping

作者: Xianqiang Luo

作者单位: Department of Mathematics, Wuyi University, Jangmen 529020, P.R. China

会议类型: 国际会议

会议名称: The First World Congress on Global Optimization in Engineering & Science(第一届工程与科学全局优化国际会议 WCGO2009)

会议地点: 长沙

会议语种:英文

页码: 129-134

在线出版日期: 2009-06-01（万方平台首次上网日期，不代表论文的发表时间）