Alternative proofs of some classical metric fixed point theorems by using approximate fixed point sequences

被引：1
|
作者：
Berinde, Vasile [1 ,2 ]
Pacurar, Madalina [3 ]
机构：
[1] Tech Univ Cluj Napoca, North Univ Ctr Baia Mare, Dept Math & Comp Sci, Victoriei 76, Baia Mare 430122, Romania
[2] Acad Romanian Scientists, Bucharest, Romania
[3] Babes Bolyai Univ Cluj Napoca, Fac Econ & Bussiness Adm, Dept Econ & Bussiness Adm German Language, T Mihali 58-60, Cluj Napoca 400591, Romania
来源：
ARABIAN JOURNAL OF MATHEMATICS | 2023年 / 12卷 / 02期
关键词：
47H09; 47H10; 54H25; CONVERGENCE THEOREMS; BANACH-SPACES; ITERATIVE APPROXIMATION; ASYMPTOTIC REGULARITY; NONEXPANSIVE-MAPPINGS; CONTRACTIONS;
D O I：
10.1007/s40065-022-00398-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The notion of approximate fixed point sequence, emphasized in Chidume (Geometric properties of Banach spaces and nonlinear iterations. Lecture Notes in Mathematics, 1965. Springer-Verlag London, Ltd., London, 2009), is a very useful tool in proving convergence theorems for fixed point iterative schemes in the class of nonexpansive-type mappings. In the present paper, our aim is to present simple and unified alternative proofs of some classical fixed point theorems emerging from Banach contraction principle, by using a technique based on the concepts of approximate fixed point sequence and graphic contraction.
引用
收藏
页码：341 / 351
页数：11
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