大学数学
大學數學
대학수학
COLLEGE MATHEMATICS
2011年
6期
47-51
,共5页
广义拟凹映射%KKM映射%广义KKM映射%向量极小极大不等式
廣義擬凹映射%KKM映射%廣義KKM映射%嚮量極小極大不等式
엄의의요영사%KKM영사%엄의KKM영사%향량겁소겁대불등식
generalized quasiconvex vector mapping%KKM mapping%generalized KKM mapping%minimax inequality
引入z-广义c-拟凹向量映射,研究它和广义KKM映射的等价性,应用这些结果改进了-Ky Fan向量极小极大不等式,并且获得了一强向量极小极大不等式.
引入z-廣義c-擬凹嚮量映射,研究它和廣義KKM映射的等價性,應用這些結果改進瞭-Ky Fan嚮量極小極大不等式,併且穫得瞭一彊嚮量極小極大不等式.
인입z-엄의c-의요향량영사,연구타화엄의KKM영사적등개성,응용저사결과개진료-Ky Fan향량겁소겁대불등식,병차획득료일강향량겁소겁대불등식.
A generalized vector-valued quasiconvcave mapping is introduced, and it is studied that the equivalent quality between it and the generalized KKM mapping, which are all applied to improve a Ky Fan minimax inequality and obtain a strong minimax inequality for vector-valued mapping by the KKM methods.