Common Fixed Point of the Commutative F-contraction Self-mappings

被引：0

作者：

Chebel Z. ^{[1
,2
,3
]}

Boureghda A. ^{[3
,4
]}

机构：

[1] Department of Mathematics, Faculty of Mathematics and Computer Science, Mohamed El Bachir El Ibrahimi University, Bordj Bou Arreridj

[2] ETA Laboratory, Electronics Department, University of Bordj Bou Arreridj, El Anasser, Bordj Bou Arreridj

[3] Département de Mathématiques, IRIMAS, Université de Haute Alsace, 6, Rue des Frères lumière, Mulhouse Cedex

[4] Laboratory of Fundamental and Numerical Mathematics, Faculty of Sciences, Ferhat Abbas University, Sétif

来源：

International Journal of Applied and Computational Mathematics | 2021年 / 7卷 / 4期

关键词：

Common fixed point; Fixed point theorems; Lipschitzian mapping;

D O I：

10.1007/s40819-021-01107-1

中图分类号：

学科分类号：

摘要：

The purpose of this paper is to introduce and study a concept, called F-contraction mappings which generalize Lipschtzian mappings. They form a class that is wider than the Lipschtzian mappings. Moreover, we establish a new approach to obtain a common fixed point theorem for two commuting mappings, in order to get an equivalent theorem to G. Jungck’s result (Am Math Mon 83:261–263, 1976). Our result is illustrated by examples and generalizes Banach contraction theorem. The two joined theorems of both G. Jungck and ours are realised and some applications in the ball are derived from. © 2021, The Author(s), under exclusive licence to Springer Nature India Private Limited.

引用

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