Approximating Solutions of Matrix Equations via Fixed Point Techniques

被引：2

作者：

Shukla, Rahul ^{[1
]}

Pant, Rajendra ^{[1
]}

Nashine, Hemant Kumar ^{[1
,2
]}

De la Sen, Manuel ^{[3
]}

机构：

[1] Univ Johannesburg, Dept Math & Appl Math, Kingsway Campus, ZA-2006 Auckland Pk, South Africa

[2] Vellore Inst Technol, Sch Adv Sci, Dept Math, Vellore 632014, Tamil Nadu, India

[3] Univ Basque Country, Fac Sci & Technol, Inst Res & Dev Proc IIDP, Leioa 48940, Spain

来源：

MATHEMATICS | 2021年 / 9卷 / 21期

关键词：

nonexpnasive mapping; enriched nonexpansive mapping; banach space; matrix equations; PARTIALLY ORDERED SETS; NONEXPANSIVE-MAPPINGS; ITERATION;

D O I：

10.3390/math9212684

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The principal goal of this work is to investigate new sufficient conditions for the existence and convergence of positive definite solutions to certain classes of matrix equations. Under specific assumptions, the basic tool in our study is a monotone mapping, which admits a unique fixed point in the setting of a partially ordered Banach space. To estimate solutions to these matrix equations, we use the Krasnosel'skii iterative technique. We also discuss some useful examples to illustrate our results.

引用

页数：16

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