ON AN EXTENSION OF MINTYS THEOREM

被引：0

作者：

SHIMIZU, M ^{[1
]}

机构：

[1] WASEDA UNIV,SCH EDUC,DEPT MATH,SHINJUKU KU,TOKYO 169,JAPAN

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1992年 / 114卷 / 04期

关键词：

EXTENSION; MINTY THEOREM; HILBERT SPACE;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The notion of monotone operator in a Hilbert space is extended, and a considerably broader class of possibly multivalued operators is introduced. It is shown that well-known Minty's theorems on maximal monotone operators in Hilbert spaces can be extended to the cases of operators belonging to the class. Typical examples of partial differential operators are given to illustrate that the results can be applied to nonlinear equations, which involve nonmonotone differential operators.

引用

页码：949 / 954

页数：6