RETRACTED: Approximation of solutions of generalized equations of Hammerstein type (Retracted Article)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

共 32 条

[1]

[Anonymous], 1978, Nonlinear mappings of monotone type

[2]

Berinde V., 2002, Iterative approximation of fixed points

[3]

Berinde V, 2007, LECT NOTES MATH, V1912, P1

[4] EXISTENCE THEOREMS FOR NONLINEAR INTEGRAL-EQUATIONS OF HAMMERSTEIN TYPE [J].

BREZIS, H ;

BROWDER, FE .

BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1975, 81 (01) :73-78

[5] SOME NEW RESULTS ABOUT HAMMERSTEIN EQUATIONS [J].

BREZIS, H ;

BROWDER, FE .

BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 80 (03) :567-572

[6] NONLINEAR INTEGRAL-EQUATIONS AND SYSTEMS OF HAMMERSTEIN TYPE [J].

BREZIS, H ;

BROWDER, FE .

ADVANCES IN MATHEMATICS, 1975, 18 (02) :115-147

[7]

Browder F. E., 1971, CONTRIBUTIONS NONLIN, P425

[8] NONLINEAR MAPPINGS OF NONEXPANSIVE AND ACCRETIVE TYPE IN BANACH SPACES [J].

BROWDER, FE .

BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1967, 73 (06) :875-&

[9] MAXIMAL MONOTONE OPERATORS AND NONLINEAR INTEGRAL EQUATIONS OF HAMMERSTEIN TYPE [J].

BROWDER, FE ;

DEFIGUEI.DG ;

GUPTA, CP .

BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1970, 76 (04) :700-&

[10] MONOTONE OPERATORS AND NONLINEAR INTEGRAL EQUATIONS OF HAMMERSTEIN TYPE [J].

BROWDER, FE ;

GUPTA, CP .

BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 75 (06) :1347-&

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