Some globally stable fixed points in b-metric spaces
Journal article
Authors/Editors
Strategic Research Themes
No matching items found.
Publication Details
Author list: Batsari U.Y., Kumam P., Sitthithakerngkiet K.
Publisher: MDPI AG
Publication year: 2018
Volume number: 10
Issue number: 11
ISSN: 2073-8994
eISSN: 2073-8994
Languages: English-Great Britain (EN-GB)
View in Web of Science | View on publisher site | View citing articles in Web of Science
Abstract
In this paper, the existence and uniqueness of globally stable fixed points of asymptotically contractive mappings in complete b-metric spaces were studied. Also, we investigated the existence of fixed points under the setting of a continuous mapping. Furthermore, we introduce a contraction mapping that generalizes that of Banach, Kanan, and Chatterjea. Using our new introduced contraction mapping, we establish some results on the existence and uniqueness of fixed points. In obtaining some of our results, we assume that the space is associated with a partial order, and the b-metric function has the regularity property. Our results improve, and generalize some current results in the literature. ฉ 2018 by the authors.
Keywords
Asymptotically contractive mapping, Order preserving mapping, Regularity condition
Contact Information