THE REGULARIZATION METHOD FOR VARIATIONAL-INEQUALITIES WITH NONSMOOTH UNBOUNDED OPERATORS IN BANACH-SPACE

被引：15

作者：

ALBER, YI

机构：

[1] Department of Mathematics Technion-Israel Institute of Technology, Haifa

来源：

APPLIED MATHEMATICS LETTERS | 1993年 / 6卷 / 04期

关键词：

D O I：

10.1016/0893-9659(93)90125-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The convergence and stability of the regularization method for variational inequalities with nonsmooth unbounded uniformly and properly monotone (i.e., degenerate) operators on Banach spaces are investigated. All the objects of the inequality: the operator A, the right-hand part f and the set of constraints OMEGA are to be perturbed. Along with well-known approximation criterions (according to Hausdorff and Mosco), a new quantitative proximity characteristic of convex closed sets is used. As a corollary, the convergence and stability of the Galerkin method are established.

引用

页码：63 / 68

页数：6

共 13 条

[1] SOLUTION OF NONLINEAR EQUATIONS WITH MONOTONE OPERATORS IN A BANACH-SPACE [J].