Existence and approximation of fixed points of enriched contractions in quasi-Banach spaces

被引:0
|
作者
Berinde, Vasile [1 ,2 ]
机构
[1] Tehn Univ Cluj Napoca, North Univ Ctr Baia Mare, Dept Math & Comp Sci, Victoriei 76, Baia Mare 430122, Romania
[2] Acad Romanian Scientists, 3 Ilfov, Bucharest 050044, Romania
关键词
quasi-Banach space; quasi-norm; b-metric; contraction; fixed point; Krasnoselskij iteration; NONEXPANSIVE-MAPPINGS; THEOREMS;
D O I
10.37193/CJM.2024.02.03
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We obtain results on the existence and approximation of fixed points of enriched contractions in quasi-Banach spaces and thus extend the previous results for enriched contractions defined on Banach spaces [Berinde, V.; Pacurar, M. Approximating fixed points of enriched contractions in Banach spaces. J. Fixed Point Theory Appl. 22 (2020), no. 2, Paper No. 38, 10 pp.]. The theoretical results are illustrated by means of an appropriate example of enriched contraction on a quasi-Banach space which is not a Banach space and thus show that our new results are effective generalizations of the previous ones in literature.
引用
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页码:263 / 274
页数:12
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