APPROXIMATION METHODS FOR NONLINEAR OPERATOR-EQUATIONS OF THE M-ACCRETIVE TYPE

被引：35

作者：

CHIDUME, CE ^{[1
]}

OSILIKE, MO ^{[1
]}

机构：

[1] UNIV NIGERIA,DEPT MATH,NSUKKA,NIGERIA

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1995年 / 189卷 / 01期

关键词：

D O I：

10.1006/jmaa.1995.1014

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let E be a real Banach space which is both uniformly convex and uniformly smooth. Let T: D(T) subset of E --> E be m-accretive, where the domain of T, D(T), is a proper, subset of E. For any f is an element of E, approximation methods are constructed which converge strongly to a solution of the operator equation x + Tx = f. Explicit error estimates are obtained. A related result deals with operator equations of the dissipative type. (C) 1995 Academic Press. Inc.

引用

页码：225 / 239

页数：15