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Article Citation - WoS: 13Citation - Scopus: 16A Short Note on the Common Fixed Points of the Geraghty Contraction of Type es<(de Gruyter Poland Sp Zoo, 2018) Alqahtani, Badr; Fulga, Andreea; Karapinar, ErdalIn this paper, we propose a new contraction type for two self-mappings and investigate the necessary conditions for the existence and uniqueness of coincidence points and common fixed points, respectively. We put some examples to illustrate our main results.Article Citation - WoS: 28Citation - Scopus: 50Non-Unique Fixed Point Results in Extended b-metric Space(Mdpi, 2018) Alqahtani, Badr; Fulga, Andreea; Karapinar, ErdalIn this paper, we investigate the existence of fixed points that are not necessarily unique in the setting of extended b-metric space. We state some examples to illustrate our results.Article Citation - WoS: 1Citation - Scopus: 1Discussion on the Fixed Point Problems With Constraint Inequalities(Springeropen, 2018) Alqahtani, Badr; Lashkaripour, Rahmatollah; Karapinar, Erdal; Hamzehnejadi, JavadIn this paper, we introduce the concept of comparable complete metric spaces and consider some fixed point theorems for mappings in the setting of incomplete metric spaces. We obtain the results of Ansari et al. [J. Fixed Point Theory Appl. 20:26, 2018] with weaker conditions. Moreover, we provide some corollaries and examples show that our main result is a generalization of existing results in the literature.Article Citation - WoS: 34Citation - Scopus: 52Common Fixed Point Results on an Extended B-Metric Space(Springeropen, 2018) Alqahtani, Badr; Fulga, Andreea; Karapinar, ErdalIn this paper, we investigate the existence of common fixed points of a certain mapping in the frame of an extended b-metric space. The given results cover a number of well-known fixed point theorems in the literature. We state some examples to illustrate our results.Article Citation - WoS: 34Citation - Scopus: 46Fixed Point Results on -Symmetric Quasi-Metric Space Via Simulation Function With an Application To Ulam Stability(Mdpi, 2018) Alqahtani, Badr; Fulga, Andreea; Karapinar, ErdalIn 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.
