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

页码：341 / 351

页数：11

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