Yosida Approximation Iterative Methods for Split Monotone Variational Inclusion Problems

被引：6

作者：

Dilshad, Mohammad ^{[1
]}

Aljohani, Abdulrahman F. ^{[1
]}

Akram, Mohammad ^{[2
]}

Khidir, Ahmed A. ^{[1
,3
]}

机构：

[1] Univ Tabuk, Fac Sci, Dept Math, Computat & Analyt Math & Their Applicat Res Grp, Tabuk, Saudi Arabia

[2] Islamic Univ Madinah, Fac Sci, Dept Math, Madinah, Saudi Arabia

[3] Alneelain Univ, Fac Technol Math Sci & Stat, Khartoum, Sudan

来源：

JOURNAL OF FUNCTION SPACES | 2022年 / 2022卷

关键词：

NULL POINT PROBLEM; FEASIBILITY PROBLEMS; CONVERGENCE ANALYSIS; PRIOR KNOWLEDGE; ALGORITHM;

D O I：

10.1155/2022/3665713

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we present two iterative algorithms involving Yosida approximation operators for split monotone variational inclusion problems (SpMVIP). We prove the weak and strong convergence of the proposed iterative algorithms to the solution of SpMVIP in real Hilbert spaces. Our algorithms are based on Yosida approximation operators of monotone mappings such that the step size does not require the precalculation of the operator norm. To show the reliability and accuracy of the proposed algorithms, a numerical example is also constructed.

引用

页数：10

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