On the semi-monotone operator theory and applications

被引：60

作者：

Chen, YQ ^{[1
]}

机构：

[1] Ohio Univ, Dept Math, Athens, OH 45701 USA

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1999年 / 231卷 / 01期

关键词：

D O I：

10.1006/jmaa.1998.6245

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, E is a real Banach space, A: E** x E** --> E* is a semi-monotone operator. We first study the variational inequality problem: Find u is an element of K, such that (A(u, u), v - u) greater than or equal to 0, where K subset of E** is a closed convex subset; then the operator equation A(u, u) = p*, and we also construct a degree theory for demi-continuous semi-monotone operators in reflexive Banach spaces. (C) 1999 Academic Press.

引用

页码：177 / 192

页数：16

共 18 条

[1] Note on the topological degree of the subdifferential of a lower semi-continuous convex function [J].