Qualitative Properties of the Solution of a System of Operator Inclusions in <i>b</I>-metric Spaces Endowed With a Graph
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Date
2018
Journal Title
Journal ISSN
Volume Title
Publisher
Springer Singapore Pte Ltd
Open Access Color
Green Open Access
No
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Publicly Funded
No
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Impulse
Average
Influence
Average
Popularity
Top 10%
Abstract
The purpose of this paper is to present existence and uniqueness results for the solution of a system of operator inclusions. Data dependence, well-posedness, Ulam-Hyers stability, and Ostrovski stability of the coupled fixed point system are studied. The basic idea is to apply a fixed point theorem for an appropriate operator on the Cartesian product of a given b-metric space endowed with a graph.
Description
KARAPINAR, ERDAL/0000-0002-6798-3254;
ORCID
Keywords
b-metric space, Data dependence, Well-posedness, Ulam-Hyers stability, Ostrovski stability property, \(b\)-metric space, Fixed-point theorems, Fixed-point and coincidence theorems (topological aspects), well-posedness, data dependence, Special maps on metric spaces, Ulam-Hyers stability, Ostrovski stability property
Fields of Science
0101 mathematics, 01 natural sciences
Citation
WoS Q
Q2
Scopus Q
Q2
OpenCitations Citation Count
5
Source
Bulletin of the Iranian Mathematical Society
Volume
44
Issue
5
Start Page
1267
End Page
1281
PlumX Metrics
Citations
CrossRef : 3
Scopus : 6
SCOPUS™ Citations
6
checked on Feb 12, 2026
Web of Science™ Citations
7
checked on Feb 12, 2026
Page Views
1
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