APPLICATIONS OF VARIATIONAL-INEQUALITIES TO NONLINEAR-ANALYSIS

被引：22

作者：

YAO, JC

机构：

[1] Department of Industrial Engineering, Yuan-Ze Institute of Technology, Nie-Li

来源：

APPLIED MATHEMATICS LETTERS | 1991年 / 4卷 / 04期

关键词：

D O I：

10.1016/0893-9659(91)90062-Z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider some applications of variational inequalities to nonlinear analysis. These applications include solutions of nonlinear equations, fixed point problems and eigenvalue problems. In particular, we show that any hemicontinuous and dissipative operator from a nonempty closed convex subset of a Hilbert space into itself has a unique fixed point. An iterative scheme for searching for fixed points of special types of operators is proposed.

引用

页码：89 / 92

页数：4

共 5 条

[1]

Stampacchia, Variational inequalities, Theory and Applications of Monotone Operators, (1969)

[2]

Kinderlehrer, Stampacchia, An Introduction to Variational Inequalities, (1980)

[3]

Hartman, Stampacchia, On some nonlinear elliptic differential functional equations, Acta Math., 115, pp. 271-310, (1966)

[4]

Allen, Variational inequalities, complementarity problems, and duality theorems, J. Math. Anal. Appl., 58, pp. 1-10, (1977)

[5]

Browder, Nonlinear monotone operators and convex sets in Banach spaces, Bulletin of the American Mathematical Society, 17, pp. 780-785, (1965)

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