Fixed point theorems for a system of transformations in generalized metric spaces-Reference-Cited by-同舟云学术

Fixed point theorems for a system of transformations in generalized metric spaces

Published:2015-11-17 Issue:04 Volume:08 Page:1550068
ISSN:1793-5571
Container-title:Asian-European Journal of Mathematics
language:en
Short-container-title:Asian-European J. Math.

Author:

Czerwik Stefan¹,Król Krzysztof¹

Affiliation:

1. Institute of Mathematics, Silesian University of Technology, Kaszubska 23, 44-100 Gliwice, Poland

Abstract

In this paper we present the results on the existence of fixed points of system of mappings in generalized metric spaces generalizing the result of Diaz and Margolis. Also the “local fixed point theorems” of a system of such mappings both in generalized and ordinary metric spaces are stated. Banach fixed point theorem and many others are consequences of our results.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793557115500680

Reference10 articles.

1. Sur les opérations dans les ensembles abstraits et leur application aux équations intégrales

2. A fixed point theorem for a system of multivalued transformations

3. A fixed point theorem of the alternative, for contractions on a generalized complete metric space

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Theorem of the alternative for a system of mappings in generalized complete metric spaces;The Journal of Analysis;2024-09-10

2. Compact bilinear operators on asymmetric normed spaces;Topology and its Applications;2022-02

3. Orthogonal sets; orthogonal contractions;Asian-European Journal of Mathematics;2019-05-27

4. Fixed Point Theorems for a System of Mappings in Generalized b-Metric Spaces;Mathematical Analysis and Applications;2019