Title
Common Fixed Points Via Asymptotic Contraction And Application To Matrix Equations
Abstract
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.
Year
DOI
Venue
2020
10.1007/s40314-020-01358-6
COMPUTATIONAL & APPLIED MATHEMATICS
Keywords
DocType
Volume
Asymptotic contration, Common fixed point, Matrix equation, Positive definite matrix
Journal
39
Issue
ISSN
Citations 
4
2238-3603
0
PageRank 
References 
Authors
0.34
0
4
Name
Order
Citations
PageRank
Ashis Bera100.34
Lakshmi Kanta Dey211.09
Hiranmoy Garai300.68
Sayandeepa Raha400.34