Fixed Point Results on Δ-Symmetric Quasi-Metric Space via Simulation Function with an Application to Ulam Stability

In this paper, in the setting of Δ -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...

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Bibliographic Details
Published inMathematics (Basel) Vol. 6; no. 10; p. 208
Main Authors Alqahtani, Badr, Fulga, Andreea, Karapınar, Erdal
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 17.10.2018
Subjects
Cybernetics
fixed point theorems
Fixed points (mathematics)
Mathematics
Metric space
Operators (mathematics)
quasi-metric space
Quotas
Simulation
Stability
Traveling salesman problem
Δ-symmetry
Taiwan
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Summary:In this paper, in the setting of Δ -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.
ISSN:2227-7390
2227-7390
DOI:10.3390/math6100208