Browsing by Author "Alqahtani, Badr"

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Citation - WoS: 4
Best Proximity Point for Certain Proximal Contraction Type Mappings
(Univ Prishtines, 2018) Alqahtani, Badr; Hamzehnejadi, Javad; Karapinar, Erdal; Lashkaripour, Rahmatollah; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
In this paper, we introduce the new notion of generalized proximal alpha-h-phi-contraction mappings and investigate the existence of the best proximity point for such mappings in the complete metric spaces.
Citation - WoS: 33
Citation - Scopus: 50
Common Fixed Point Results on an Extended B-Metric Space
(Springeropen, 2018) Alqahtani, Badr; Fulga, Andreea; Karapinar, Erdal; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
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: 1
Citation - Scopus: 1
Discussion on the Fixed Point Problems With Constraint Inequalities
(Springeropen, 2018) Alqahtani, Badr; Lashkaripour, Rahmatollah; Karapinar, Erdal; Hamzehnejadi, Javad; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
In 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.
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; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
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: 27
Citation - Scopus: 47
Non-Unique Fixed Point Results in Extended b-metric Space
(Mdpi, 2018) Alqahtani, Badr; Fulga, Andreea; Karapinar, Erdal; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
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: 21
Citation - Scopus: 23
On (α, Ψ)-k-contractions in the Extended b-metric Space
(Univ Nis, Fac Sci Math, 2018) Alqahtani, Badr; Karapinar, Erdal; Ozturk, Ali; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
In this paper, we introduce a notion of (alpha, psi)-K-contraction in the setting of extended b-metric spaces and investigate the existence of a fixed point. The presented results generalize and unify a number of well-known fixed point theorem mainly in two distinct aspects; in the sense of the contraction conditions and in the frame of abstract spaces.
Citation - WoS: 3
On Ciric Type φ-Geraghty Contractions
(Chiang Mai Univ, Fac Science, 2019) Alqahtani, Badr; Fulga, Andreea; Karapinar, Erdal; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
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: 5
On Some Fixed Point Results in Extended Strong b-spaces
(int Center Scientific Research & Studies, 2018) Alqahtani, Badr; Karapinar, Erdal; Khojasteh, Farshid; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
In this paper, we propose a notion of a strong extended b-metric space and investigate the existence and uniqueness of a fixed point of certain operators.
Citation - WoS: 9
Citation - Scopus: 14
Sehgal Type Contractions on b-Metric Space
(Mdpi, 2018) Alqahtani, Badr; Fulga, Andreea; Karapinar, Erdal; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
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; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
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.