Fixed Point Results on -Symmetric Quasi-Metric Space Via Simulation Function With an Application To Ulam Stability
Loading...
Date
2018
Journal Title
Journal ISSN
Volume Title
Publisher
Mdpi
Open Access Color
GOLD
Green Open Access
No
OpenAIRE Downloads
OpenAIRE Views
Publicly Funded
No
BIP! Indicators
Impulse
Top 10%
Influence
Top 10%
Popularity
Top 10%
Abstract
In this paper, in the setting of D - symmetric quasi- metric spaces, the existence and uniqueness of a fixed point of certain operators are scrutinized carefully by using simulation functions. The most interesting side of such operators is that they do not form a contraction. As an application, in the same framework, the Ulam stability of such operators is investigated. We also propose some examples to illustrate our results.
Description
KARAPINAR, ERDAL/0000-0002-6798-3254; Fulga, Andreea/0000-0002-6689-0355
Keywords
quasi-metric space, Delta-symmetry, fixed point theorems, metric space, metric space, quasi-metric space, QA1-939, Δ-symmetry, fixed point theorems, Mathematics, Fixed-point and coincidence theorems (topological aspects), Stability, separation, extension, and related topics for functional equations, \(\Delta\)-symmetry, Special maps on metric spaces
Fields of Science
0101 mathematics, 01 natural sciences
Citation
WoS Q
Q1
Scopus Q
Q2
OpenCitations Citation Count
37
Source
Mathematics
Volume
6
Issue
10
Start Page
208
End Page
PlumX Metrics
Citations
CrossRef : 37
Scopus : 46
Captures
Mendeley Readers : 2
Google Scholar™
