Article
2022
·
0 citations
Convexity in <i>G</i>-metric spaces and approximation of fixed points by Mann iterative process
Abstract
In this paper, we first define the concept of convexity in G-metric spaces. We then use Mann iterative process in this newly defined convex G-metric space to prove some convergence results for some classes of mappings. In this way, we can extend several existence results to those approximating fixed points. Our results are just new in the setting.
Keywords
Convex structure
Convex G-metric space
Mann iterative process
convergence
QUASI-NONEXPANSIVE MAPPINGS
CONVERGENCE
WoS Categories
Mathematics
Citation
- Journal
- INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS
- Year
- 2022
- Volume
- 13
- Issue
- 1
- Pages
- 1957-1964
- ISSN
- 2008-6822
- DOI
- 10.22075/ijnaa.2021.21435.2259
- WoS UID
- WOS:000781720500028