Newton-type iterative schemes for generalized equations

被引：1

作者：

Uko, Livinus U. ^{[1
]}

Adeyeye, John O. ^{[2
]}

机构：

[1] Johnson C Smith Univ, Nat Sci & Math Dept, Charlotte, NC 28216 USA

[2] Winston Salem State Univ, Dept Math, Durham, NC 27710 USA

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2005年 / 63卷 / 5-7期

关键词：

Generalized Newton scheme; Zabrejko-Nguen conditions; Generalized equation; Iterative solution; Majorant method; Hausdorff metric; Nonsmooth equation;

D O I：

10.1016/j.na.2005.01.063

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Our main aim in the present paper is the search for a zero of the sum of a single-valued differentiable function and a multivalued Hausdorff-continuous function. Our approach is constructive and replaces the given problem with an infinite collection of Newton-type approximate problems whose solutions converge to the desired solution. Our class of approximate problems is quite wide and contains as special cases many generalized Newton-type schemes that have been studied by Argyros, Zabrejko, Nguen, Uko and other authors. (C) 2005 Elsevier Ltd. All rights reserved.

引用

页码：E2289 / E2299

页数：11

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