Applying fixed point methodologies to solve a class of matrix difference equations for a new class of operators

被引：5

作者：

Hammad, Hasanen A. ^{[1
,2
]}

Elmursi, Mohamed ^{[2
]}

Rashwan, Rashwan A. ^{[3
]}

Isik, Huseyin ^{[4
]}

机构：

[1] Qassim Univ, Unaizah Coll Sci & Arts, Dept Math, Buraydah 52571, Saudi Arabia

[2] Sohag Univ, Fac Sci, Dept Math, Sohag 82524, Egypt

[3] Assiut Univ, Fac Sci, Dept Math, Assiut 71516, Egypt

[4] Bandirma Onyedi Eylul Univ, Dept Engn Sci, TR-10200 Bandirma, Balikesir, Turkey

来源：

ADVANCES IN CONTINUOUS AND DISCRETE MODELS | 2022年 / 2022卷 / 01期

关键词：

Rational eta-contraction mapping; Fixed point technique; Difference equations; Global attractor; Equilibrium point; NONLINEAR MATRIX;

D O I：

10.1186/s13662-022-03724-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The goal of this paper is to present a new class of operators satisfying the Presic-type rational eta-contraction condition in the setting of usual metric spaces. New fixed point results are also obtained for these operators. Our results generalize, extend, and unify many papers in this direction. Moreover, two examples are derived to support and document our theoretical results. Finally, to strengthen our paper and its contribution to applications, some convergence results for a class of matrix difference equations are investigated.

引用

页数：16

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