Adaptive inertial Yosida approximation iterative algorithms for split variational inclusion and fixed point problems

被引：6

作者：

Dilshad, Mohammad ^{[1
]}

Akram, Mohammad ^{[2
]}

Nasiruzzaman, Md. ^{[1
]}

Filali, Doaa ^{[3
]}

Khidir, Ahmed A. ^{[1
,4
]}

机构：

[1] Univ Tabuk, Fac Sci, Dept Math, Tabuk 71491, Saudi Arabia

[2] Islamic Univ Madinah, Fac Sci, Dept Math, Madinah 107, Saudi Arabia

[3] Princess Nourah bint Abdulrahman Univ, Coll Sci, Dept Math Sci, POB 84428, Riyadh 84428, Saudi Arabia

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

来源：

AIMS MATHEMATICS | 2023年 / 8卷 / 06期

关键词：

split variational inclusion; fixed point problem; Yosida approximation; algorithms; weak convergence; strong convergence; PROXIMAL METHOD; CONVERGENCE;

D O I：

10.3934/math.2023651

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we present self-adaptive inertial iterative algorithms involving Yosida approximation to investigate a split variational inclusion problem (SVIP) and common solutions of a fixed point problem (FPP) and SVIP in Hilbert spaces. We analyze the weak convergence of the proposed iterative algorithm to explore the approximate solution of the SVIP and strong convergence to estimate the common solution of the SVIP and FPP under some mild suppositions. A numerical example is demonstrated to validate the theoretical findings, and comparison of our iterative methods with some known schemes is outlined.

引用

页码：12922 / 12942

页数：21

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