Asymptotic stability of equilibria for difference equations via fixed points of enriched Presic operators

被引：1

作者：

Pacurar, Madalina ^{[1
]}

机构：

[1] Babes Bolyai Univ, Fac Econ & Business Adm, T Mihali 58-60, Cluj Napoca 400591, Romania

来源：

DEMONSTRATIO MATHEMATICA | 2023年 / 56卷 / 01期

关键词：

enriched Presic operator; fixed point; global asymptotic stability; difference equation; NONEXPANSIVE-MAPPINGS; BANACH-SPACES; CONTRACTIONS; THEOREM;

D O I：

10.1515/dema-2022-0185

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduced a new general class of Presic-type operators, by enriching the known class of Presic contractions. We established conditions under which enriched Presic operators possess a unique fixed point, proving the convergence of two different iterative methods to the fixed point. We also gave a data dependence result that was finally applied in proving the global asymptotic stability of the equilibrium of a certain k-th order difference equation.

引用

页数：8

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