Inertial accelerated algorithms for solving split feasibility with multiple output sets in Hilbert spaces

被引：11

作者：

Okeke, Chibueze C. ^{[2
]}

Jolaoso, Lateef O. ^{[3
]}

Shehu, Yekini ^{[1
]}

机构：

[1] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China

[2] Univ Witwatersrand, Sch Math, Private Bag 3, ZA-2050 Johannesburg, South Africa

[3] Sefako Makgatho Hlth Sci Univ, Dept Math & Appl Math, POB 94 Medunsa 0204, Pretoria, South Africa

来源：

INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION | 2023年 / 24卷 / 02期

关键词：

Hilbert space; inertial technique; metric projection; split feasibility problem; SHRINKING PROJECTION METHOD; MAXIMAL MONOTONE-OPERATORS; NULL POINT PROBLEM; ITERATIVE ALGORITHMS; STRONG-CONVERGENCE; WEAK-CONVERGENCE;

D O I：

10.1515/ijnsns-2021-0116

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper, we propose two inertial accelerated algorithms which do not require prior knowledge of operator norm for solving split feasibility problem with multiple output sets in real Hilbert spaces. We prove weak and strong convergence results for approximating the solution of the considered problem under certain mild conditions. We also give some numerical examples to demonstrate the performance and efficiency of our proposed algorithms over some existing related algorithms in the literature.

引用

页码：769 / 790

页数：22

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