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.
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页数：8
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