Browsing by Author "Khojasteh, Farshid"

Now showing 1 - 7 of 7

Citation - WoS: 69
Citation - Scopus: 70
An Approach To Best Proximity Points Results Via Simulation Functions
(Springer Basel Ag, 2017) Karapinar, Erdal; Khojasteh, Farshid; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
In this paper, we investigate of the existence of the best proximity points of certain mapping defined via simulation functions in the frame of complete metric spaces. We consider the uniqueness criteria for such mappings. The obtained results unify a number of the existing results on the topic in the literature.
Citation - WoS: 5
Citation - Scopus: 6
A Note on Fixed Point Results in Complex-Valued Metric Spaces
(Springer international Publishing Ag, 2015) Al-Mezel, Saleh A.; Alsulami, Hamed H.; Karapinar, Erdal; Khojasteh, Farshid; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
In this paper, we prove that the fixed point results in the context of complex-valued metric spaces can be obtained as a consequence of corresponding existing results in the literature in the setting of associative metric spaces. In particular, we deduce that any complex metric space is a special case of cone metric spaces with a normal cone.
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: 57
Citation - Scopus: 64
A Proposal to the Study of Contractions in Quasi-Metric Spaces
(Hindawi Ltd, 2014) Alsulami, Hamed H.; Karapinar, Erdal; Khojasteh, Farshid; Roldan-Lopez-de-Hierro, Antonio-Francisco; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
We investigate the existence and uniqueness of a fixed point of an operator via simultaneous functions in the setting of complete quasi-metric spaces. Our results generalize and improve several recent results in literature.
Citation - WoS: 5
Citation - Scopus: 9
Remarks on Some Recent Fixed Point Results on Quaternion-Valued Metric Spaces
(Hindawi Ltd, 2014) Agarwal, Ravi P.; Alsulami, Hamed H.; Karapinar, Erdal; Khojasteh, Farshid; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
Very recently, Ahmed et al. introduced the notion of quaternion-valued metric as a generalization of metric and proved a common fixed point theorem in the context of quaternion-valued metric space. In this paper, we will show that the quaternion-valued metric spaces are subspaces of cone metric spaces. Consequently, the fixed point results in such spaces can be derived as a consequence of the corresponding existing fixed point result in the setting cone metric spaces.
Citation - WoS: 13
Citation - Scopus: 18
A Short Note on c*-valued Contraction Mappings
(Springeropen, 2016) Alsulami, Hamed H.; Agarwal, Ravi P.; Karapinar, Erdal; Khojasteh, Farshid; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
In this short note we point out that the recently announced notion, the C*-valued metric, does not bring about a real extension in metric fixed point theory. Besides, fixed point results in the C*-valued metric can be derived from the desired Banach mapping principle and its famous consecutive theorems.
Citation - WoS: 28
Citation - Scopus: 35
Θ-Metric Space: a Generalization
(Hindawi Ltd, 2013) Khojasteh, Farshid; Karapınar, Erdal; Karapinar, Erdal; Radenovic, Stojan; Karapınar, Erdal; Mathematics; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
We introduce the notion of theta-metric as a generalization of a metric by replacing the triangle inequality with a more generalized inequality. We investigate the topology of the spaces induced by a theta-metric and present some essential properties of it. Further, we give characterization of well-known fixed point theorems, such as the Banach and Caristi types in the context of such spaces.