An iterative algorithm for approximating solutions of Hammerstein equations with monotone maps in Banach spaces

被引：12

作者：

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

Bello, A. U. ^{[1
,2
]}

机构：

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

[2] Fed Univ, Dutsin Ma, Katsina State, Nigeria

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2017年 / 313卷

关键词：

Hammerstein equations; Bounded strongly monotone mappings; Strong convergence; NONLINEAR INTEGRAL-EQUATIONS; HILBERT-SPACE; NONEXPANSIVE-MAPPINGS; FIXED-POINTS; OPERATORS; THEOREMS;

D O I：

10.1016/j.amc.2017.06.013

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let E = L-p, 1 < p < infinity. Let F : E -> E* and K : E* -> E be strongly monotone and bounded maps. Suppose the Hammerstein equation u + KF u = 0 has a solution u*. A coupled itera-tive process is constructed and proved to converge strongly to u*. Furthermore, our tech-nique of proof is of independent interest. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：408 / 417

页数：10

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