吉林大学学报（理学版）
吉林大學學報（理學版）
길림대학학보（이학판）
JOURNAL OF JILIN UNIVERSITY(SCIENCE EDITION)
2010年
1期
9-14
,共6页
G-凸空间%KKM映射%Γ-凸子集%Γ-拟凸%Γ-拟凹
G-凸空間%KKM映射%Γ-凸子集%Γ-擬凸%Γ-擬凹
G-철공간%KKM영사%Γ-철자집%Γ-의철%Γ-의요
G-convex space%KKM map%Γ-convex subset%Γ-quasiconvex%Γ-quasiconcave
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.
利用已知的KKM型定理得到兩箇新的重疊定理, 併作為上述結果的應用, 給齣瞭廣義凸空間上的相交定理、不等式族解的存在定理和極大極小不等式定理.
이용이지적KKM형정리득도량개신적중첩정리, 병작위상술결과적응용, 급출료엄의철공간상적상교정리、불등식족해적존재정리화겁대겁소불등식정리.
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.
