RETRACTED: Approximation of solutions of generalized equations of Hammerstein type (Retracted Article)

被引：13

作者：

Chidume, C. E. ^{[1
]}

Shehu, Y. ^{[1
]}

机构：

[1] African Univ Sci & Technol, Math Inst, Abuja, Nigeria

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2012年 / 63卷 / 05期

关键词：

Monotone operators; Equations of Hammerstein type; Strong convergence; Hilbert spaces; NONLINEAR INTEGRAL-EQUATIONS; ITERATIVE APPROXIMATION; MONOTONE-OPERATORS; SYSTEMS; INEQUALITIES; EXISTENCE;

D O I：

10.1016/j.camwa.2011.12.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let H be a real Hilbert space. For each i = 1, 2, ... , m, let F-i, K-i : H -> H be bounded and monotone mappings. Assume that the generalized Hammerstein equation u+Sigma(m)(i=1) K(i)F(i)u = 0 has a solution in H. We construct a new explicit iterative sequence and prove strong convergence of the sequence to a solution of the generalized Hammerstein equation. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：966 / 974

页数：9

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