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

Badr Alqahtani, Andreea Fulga and Erdal Karapınar
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Badr Alqahtani: Department of Mathematics, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia
Andreea Fulga: Department of Mathematics and Computer Sciences, Universitatea Transilvania Brasov, 500036 Brasov, Romania
Erdal Karapınar: Department of Mathematics, Atilim University, 06836 Ankara, Turkey

Mathematics, 2018, vol. 6, issue 10, 1-19

Abstract: 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.

Keywords: quasi-metric space; ?-symmetry; fixed point theorems; metric space (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2018
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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