摘要
作为研究非线性领域中很多问题的重要工具,Lin和Chang引入了一类S-KKM映象,证明了若干S-KKM映象的 性质.本文在L-凸空间中建立了广义L-S-KKM映象。讨论了广义L-S-KKM映象的性质,并且证明了L-S-KKM集族是KKM 集族的真推广.作为应用还得到了L-凸空间中的一个不动点定理.改进和推广了广义S-KKM映象的相关性质.
Recently, Lin and Chang introduced the concept of S-KKM mapping and gave some properties of a class S-KKM for set-valued mappings. The concept has become an adequate and important tool for studying some problems in nonlinear analysis. In this paper, a generalized L-S-KKM mappings is introduced in L-convex spaces. Some properties of a class L-S-KKM( X,Y,Z) for set-valued mappings are proved in L-convex spaces. As an application, a fixed point theorem is established in L-convex spaces.
出处
《西南民族大学学报（自然科学版）》
CAS
2003年第2期146-149,共4页
Journal of Southwest Minzu University(Natural Science Edition)
基金
国家自然科学基金资助项目(19871067).
