四川大学学报(自然科学版)
四川大學學報(自然科學版)
사천대학학보(자연과학판)
JOURNAL OF SICHUAN UNIVERSITY
2002年
5期
835-838
,共4页
非线性补问题%变量替换%投影%不动点
非線性補問題%變量替換%投影%不動點
비선성보문제%변량체환%투영%불동점
nonlinear complementarity problem%change of variables%projection%fixed point
研究了Hilbert空间(不必为Hilbert格)中一类集值非线性补问题,利用投影技巧和不动点定理,证明了这类非线性补问题解的存在性.
研究瞭Hilbert空間(不必為Hilbert格)中一類集值非線性補問題,利用投影技巧和不動點定理,證明瞭這類非線性補問題解的存在性.
연구료Hilbert공간(불필위Hilbert격)중일류집치비선성보문제,이용투영기교화불동점정리,증명료저류비선성보문제해적존재성.
The authors studied a class of nonlinear complementarity problems for set-valued map-ping in the setting of Hilbert spaces H(not necessarily Hilbert lattices). By using the property ofthe projection and the fixed point theorems, they proved the existence theorems of solution forthis kinds of nonlinear complementarity problems.