拓扑空间上的全交定理和变分不等式
탁복공간상적전교정리화변분불등식
The whole intersection theorems and variational inequalities on topological spaces
  • 万方数据
    黑龙江大学自然科学学报 흑룡강대학자연과학학보
    JOURNAL OF NATURAL SCIENCE OF HEILONGJIANG UNIVERSITY
    2010年 2期 171-174,179 ,共5页

    钟立楠%朴勇杰

    종립남%박용걸

    R-KKM映射%相对R-子集%转移闭映射%上半连续 R-KKM映射%相對R-子集%轉移閉映射%上半連續
    R-KKM영사%상대R-자집%전이폐영사%상반련속
    R-KKM map%relative R-subset%transfer closed map%upper semicontinuous
    引进了R-KKM映射和相对R-子集的概念,并利用古典的KKM原理得到了一般拓扑空间上的KKM型定理并推出全交定理,然后讨论了广义变分不等式和极大极小不等式解的存在问题.
    인진료R-KKM영사화상대R-자집적개념,병이용고전적KKM원리득도료일반탁복공간상적KKM형정리병추출전교정리,연후토론료엄의변분불등식화겁대겁소불등식해적존재문제.
    The concepts of R-KKM mapping and relative R-subset are introduced, KKM type theorem is obtained by using the classical KKM principle, and the whole intersection theorems are derived, then existence problems for so-lution of generalized variational inequality and minimax inequality are discussed.
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