RETRACTED: Approximation of solutions of generalized equations of Hammerstein type (Retracted Article)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
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
收藏
页码:966 / 974
页数:9
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