APPROXIMATION OF SOLUTIONS OF EQUATIONS OF HAMMERSTEIN TYPE IN HILBERT SPACES

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 | 2015年 / 16卷 / 01期

关键词：

Monotone operators; equations of Hammerstein type; strong convergence; Hilbert spaces; fixed point; NONLINEAR INTEGRAL-EQUATIONS; BANACH-SPACES; CONVERGENCE THEOREM; ACCRETIVE-OPERATORS; MONOTONE-OPERATORS; INEQUALITIES;

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. Let K, F : H -> H be bounded, continuous and monotone mappings. Suppose that u* is an element of H is a solution to Hammerstein equation u + KFu = 0. We introduce a new explicit iterative sequence and prove strong convergence of the sequence to a solution of the Hammerstein equation.

引用

页码：91 / 101

页数：11

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