ITERATIVE APPROXIMATION OF SOLUTIONS OF GENERALIZED EQUATIONS OF HAMMERSTEIN TYPE

被引：0

作者：

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

Shehu, Y. ^{[2
]}

机构：

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

[2] Univ Nigeria, Dept Math, Nsukka, Nigeria

来源：

FIXED POINT THEORY | 2014年 / 15卷 / 02期

关键词：

Monotone operators; equations of Hammerstein type; strong convergence; Hilbert spaces; NONLINEAR INTEGRAL-EQUATIONS; MONOTONE-OPERATORS; SYSTEMS; INEQUALITIES; EXISTENCE;

D O I：

暂无

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.

引用

页码：427 / 440

页数：14

共 35 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].