Common fixed points via asymptotic contraction and application to matrix equations

被引：6

作者：

Bera, Ashis ^{[1
]}

Dey, Lakshmi Kanta ^{[1
]}

Garai, Hiranmoy ^{[1
]}

Raha, Sayandeepa ^{[2
]}

机构：

[1] Natl Inst Technol, Dept Math, Durgapur, India

[2] Natl Inst Technol, Dept Biotechnol, Durgapur, India

来源：

COMPUTATIONAL & APPLIED MATHEMATICS | 2020年 / 39卷 / 04期

关键词：

Asymptotic contration; Common fixed point; Matrix equation; Positive definite matrix;

D O I：

10.1007/s40314-020-01358-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we employ the notion asymptotic contraction of Kirk (J Math Anal Appl 277:645-650, 2003) to obtain some common fixed point results of a pair of mappings and a finite family of mappings. To execute this, we introduce the notion of asymptotic contractions in pair for a finite family of mappings. Then, we obtain our prescribed common fixed point results using these asymptotic contractions in pair concepts. After this, we apply these results to analyze the unique common solution to a certain kind of pair of matrix equations. Finally, we provide some numerical examples to authenticate our results using figurative presentations.

引用

页数：13

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