广义凸空间上的重叠定理、相交定理和极大极小定理  

Coincidence Theorems,Intersection Theorems and Minimax Inequality Theorems on Generalized Convex Spaces

作　　者：朴勇杰[1] 沈京虎[1] 

机构地区：[1]延边大学数学系,吉林延吉133002

出　　处：《吉林大学学报（理学版）》2010年第1期9-14,共6页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:10361005);延边大学科研基金(批准号:2008[8])

摘　　要：利用已知的KKM型定理得到两个新的重叠定理,并作为上述结果的应用,给出了广义凸空间上的相交定理、不等式族解的存在定理和极大极小不等式定理.Based on the well known KKM type theorem,two new Ky Fan type coincidence theorems were obtained,and then as the application of the above results,the intersection theorem,the existence theorems of solution for a family of inequalities and the theorems of minimax inequalities were respectively given on generalized convex spaces.

关 键 词：G-凸空间 KKM映射 Γ-凸子集 Γ-拟凸 Γ-拟凹 

分 类 号：O189.1[理学—数学] O177.91[理学—基础数学]