On generalized Φ-strongly monotone mappings and algorithms for the solution of equations of Hammerstein type

被引：0

作者：

Aibinu, Mathew O. ^{[1
,2
]}

Mewomo, Oluwatosin T. ^{[3
]}

机构：

[1] Durban Univ Technol, Inst Syst Sci, Durban, South Africa

[2] Durban Univ Technol, KZN E Skills CoLab, Durban, South Africa

[3] Univ KwaZulu Natal, Sch Math Stat & Comp Sci, Durban, South Africa

来源：

INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS | 2021年 / 12卷 / 01期

关键词：

Generalized Phi-strongly monotone; Hammerstein equation; Strong convergence; NONLINEAR INTEGRAL-EQUATIONS; STRONG-CONVERGENCE; UNIFORMLY CONVEX; INEQUALITIES; OPERATORS; EXISTENCE; THEOREMS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider the class of generalized Phi-strongly monotone mappings and the methods of approximating a solution of equations of Hammerstein type. Auxiliary mapping is defined for nonlinear integral equations of Hammerstein type. The auxiliary mapping is the composition of bounded generalized Phi-strongly monotone mappings which satisfy the range condition. Suitable conditions are imposed to obtain the boundedness and to show that the auxiliary mapping is a generalized Phi-strongly which satisfies the range condition. A sequence is constructed and it is shown that it converges strongly to a solution of equations of Hammerstein type. The results in this paper improve and extend some recent corresponding results on the approximation of a solution of equations of Hammerstein type.

引用

页码：615 / 632

页数：18

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