An inertial method for solving the split equality fixed point problem with multiple output sets

被引：1

作者：

Zegeye, Habtu ^{[1
]}

Belay, Yirga abebe ^{[2
]}

Gidey, Hagos hailu ^{[1
]}

机构：

[1] Otswana Int Univ Sci & Technol, Privatebag 0016, Palapye, Botswana

[2] Aksum Univ, POB 1010, Axum, Ethiopia

来源：

CARPATHIAN JOURNAL OF MATHEMATICS | 2025年 / 41卷 / 02期

关键词：

Fixed points; quasi-pseudocontractive mappings; strong convergence; uniform continuity; ITERATIVE ALGORITHMS; CONVERGENCE THEOREMS; MAPPINGS; FAMILY; APPROXIMATION;

D O I：

10.37193/CJM.2025.02.20

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce the split equality fixed point problem with multiple output sets in real Hilbert spaces and propose an iterative method for solving the problem. We then establish a strong convergence result under the assumption that the underlying mappings are uniformly continuous quasi-pseudocontractive. We give some specific cases of our main result and finally provide a numerical example to reveal the effectiveness of our method. Our result extends many of the results in the literature.

引用

页码：569 / 595

页数：27

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