Browsing by Author "Fulga, Andreea"

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Citation - WoS: 34
Citation - Scopus: 52
Common Fixed Point Results on an Extended B-Metric Space
(Springeropen, 2018) Alqahtani, Badr; Fulga, Andreea; Karapinar, Erdal
In 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.
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.
Citation - WoS: 1
Citation - Scopus: 4
Fixed Point Theorems for Mappings With a Contractive Iterate at a Point in Modular Metric Spaces
(House Book Science-casa Cartii Stiinta, 2022) Karapinar, Erdal; Aksoy, Umit; Fulga, Andreea; Erhan, Inci M.
In this manuscript, we introduce two new types of contraction, namely, w-contraction and strong Sehgal w-contraction, in the framework of modular metric spaces. We indicate that under certain assumptions, such mappings possess a unique fixed point. For the sake of completeness, we consider examples and an application to matrix equations.
Citation - WoS: 28
Citation - Scopus: 50
Non-Unique Fixed Point Results in Extended b-metric Space
(Mdpi, 2018) Alqahtani, Badr; Fulga, Andreea; Karapinar, Erdal
In 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.
Citation - WoS: 3
On Ciric Type φ-Geraghty Contractions
(Chiang Mai Univ, Fac Science, 2019) Alqahtani, Badr; Fulga, Andreea; Karapinar, Erdal
In this paper we introduce the notions of phi-Geraghty contractions and Ciric type phi-Geraghty contractions. We also investigate under which conditions such mappings posses a unique fixed point in the framework of complete metric spaces. We consider examples to show the validity of our main results.
Citation - WoS: 3
Citation - Scopus: 3
On the Fixed Points of Iterative Contractive Mappings Defined Via Implicit Relation
(Taylor & Francis Ltd, 2021) Aksoy, Umit; Erhan, Inci M.; Fulga, Andreea; Karapinar, Erdal
In this paper, we consider an implicit relation to generalize iterative fixed point results in the literature in the context of metric spaces. We conclude that several existing results are immediate consequences of our main results.
Citation - WoS: 5
Citation - Scopus: 6
Revisiting of Some Outstanding Metric Fixed Point Theorems Via e-contraction
(Ovidius Univ Press, 2018) Fulga, Andreea; Karapinar, Erdal
In this paper, we introduce the notion of alpha-psi-contractive mapping of type E, to remedy of the weakness of the existing contraction mappings. We investigate the existence and uniqueness of a fixed point of such mappings. We also list some examples to illustrate our results that unify and generalize the several well-known results including the famous Banach contraction mapping principle.
Citation - WoS: 9
Citation - Scopus: 14
Sehgal Type Contractions on b-Metric Space
(Mdpi, 2018) Alqahtani, Badr; Fulga, Andreea; Karapinar, Erdal
In this paper, we analyze two discontinuous self-mappings that satisfy Sehgal-type inequalities in the setup of complete b-metric space. The main results of the paper cover and extend a few existing results in the corresponding literature. Furthermore, we give some illustrative examples to verify the effectiveness and strength of our derived results. Thereafter, as an application, we consider the obtained result to aggregate the existence and uniqueness of the solution for nonlinear Fredholm integral equations.
Citation - WoS: 13
Citation - Scopus: 16
A Short Note on the Common Fixed Points of the Geraghty Contraction of Type e_s<
(de Gruyter Poland Sp Zoo, 2018) Alqahtani, Badr; Fulga, Andreea; Karapinar, Erdal
In 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.
Citation - WoS: 3
Citation - Scopus: 6
Some Results on S-contractions of Type e
(Mdpi, 2018) Fulga, Andreea; Karapinar, Erdal
In this manuscript, we consider the compositions of simulation functions and E-contraction in the setting of a complete metric space. We investigate the existence and uniqueness of a fixed point for this composite form. We give some illustrative examples and provide an application.