G-凸空间中的截口定理及其应用  

Section Theorem and Its Applications in G-convex Spaces

作　　者：王彬[1] 

机构地区：[1]内江师范学院数学与信息科学学院//四川省高等学校数值仿真重点实验室,四川内江641100

出　　处：《内江师范学院学报》2010年第2期26-28,共3页Journal of Neijiang Normal University

摘　　要：将KyFan截口定理推广到G-凸空间.在G-凸空间上进一步推广了Browder不动点定理,并研究了向量值函数的极大极小值,极大极小不等式以及鞍点问题.The Ky Fan section theorem is generalized to G-convex space. As a case of application, Browder＇ s fixed point theorem is also further generalized and problems concerning vector valued function such as the minimax value, minimax inequality and saddle point problems are studied in G-convex spaces as well.

关 键 词：G-凸空间 RIESZ空间 G—KKM映象 截口定理 

分 类 号：O189.25[理学—数学]