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Citation - WoS: 141
Citation - Scopus: 162
On Interpolative Hardy-Rogers Type Contractions
(Mdpi, 2019) Karapinar, Erdal; Alqahtani, Obaid; Aydi, Hassen
By using an interpolative approach, we recognize the Hardy-Rogers fixed point theorem in the class of metric spaces. The obtained result is supported by some examples. We also give the partial metric case, according to our result.
Citation - WoS: 34
Citation - Scopus: 46
Fixed Point Results on -Symmetric Quasi-Metric Space Via Simulation Function With an Application To Ulam Stability
(Mdpi, 2018) Alqahtani, Badr; Fulga, Andreea; Karapinar, Erdal
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.