An Inertial-Like Algorithm for Solving Common Fixed Point Problems of a Family of Continuous Pseudocontractive Mappings

被引：2

作者：

Gidey, H. H. ^{[1
]}

Zegeye, H. ^{[1
,3
]}

Boikanyo, O. A. ^{[1
]}

Kagiso, D. ^{[1
]}

Belay, Y. A. ^{[1
,2
]}

机构：

[1] Botswana Int Univ Sci & Technol, Dept Math & Stat Sci, Palapye, Botswana

[2] Aksum Univ, Dept Math, Axum, Ethiopia

[3] BotswanaInternat Univ Sci & Technol, Dept Math & Stat Sci, Private Bag 16, Palapye, Botswana

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2023年 / 44卷 / 15-16期

关键词：

Common fixed point; continuous mapping; Hilbert space; inertial method; pseudocontaractive mapping; STRONG-CONVERGENCE THEOREM; ITERATION METHOD;

D O I：

10.1080/01630563.2023.2267352

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, it is our purpose to introduce an inertial-like algorithm for approximating common fixed points of continuous pseudocontractive mappings in the framework of real Hilbert spaces. We prove strong convergence theorems for the sequence generated by the algorithm under certain conditions on the control sequences. We also provide numerical examples to demonstrate the efficiency of our algorithm.

引用

页码：1628 / 1651

页数：24

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