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Open AccessArticle

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

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Department of Mathematics, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia
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Department of Mathematics and Computer Sciences, Universitatea Transilvania Brasov, 500036 Brasov, Romania
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Department of Mathematics, Atilim University, 06836 Ankara, Turkey
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Department of Medical Research, China Medical University, Taichung 40402, Taiwan
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Author to whom correspondence should be addressed.
Mathematics 2018, 6(10), 208; https://doi.org/10.3390/math6100208
Received: 8 September 2018 / Revised: 8 October 2018 / Accepted: 13 October 2018 / Published: 17 October 2018
(This article belongs to the Special Issue Stability Problems)
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. View Full-Text
Keywords: quasi-metric space; Δ-symmetry; fixed point theorems; metric space quasi-metric space; Δ-symmetry; fixed point theorems; metric space
MDPI and ACS Style

Alqahtani, B.; Fulga, A.; Karapınar, E. Fixed Point Results on Δ-Symmetric Quasi-Metric Space via Simulation Function with an Application to Ulam Stability. Mathematics 2018, 6, 208.

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