Browsing by Author "Gholizadeh, Leila"

Now showing 1 - 5 of 5

Citation - WoS: 13
Citation - Scopus: 13
Best Proximity Point Results in Dislocated Metric Spaces Via r-functions
(Springer-verlag Italia Srl, 2018) Gholizadeh, Leila; Karapinar, Erdal; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
In this paper, we investigate the existence of best proximity of R-contractions in the frame of dislocated metric spaces. We also propose some conditions to guarantee the uniqueness of best proximity point for such contractions. We consider an illustrative example to support the given results. This result generalizes a number of recent results on the topic in the literature.
Remarks on Contractive Mappings Via Ω-Distance
(Springeropen, 2013) Gholizadeh, Leila; Karapinar, Erdal; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
Very recently, some authors discovered that some fixed point results in the context of a G-metric space can be derived from the fixed point results in the context of a quasi-metric space and hence the usual metric space. In this article, we investigate some fixed point results in the framework of a G-metric space via Omega-distance that cannot be obtained by the usual fixed point results in the literature. We also add an application to illustrate our results.
Citation - Scopus: 2
Remarks on Contractive Mappings Via Ω-Distance
(Springeropen, 2013) Gholizadeh, Leila; Karapinar, Erdal; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
Very recently, some authors discovered that some fixed point results in the context of a G-metric space can be derived from the fixed point results in the context of a quasi-metric space and hence the usual metric space. In this article, we investigate some fixed point results in the framework of a G-metric space via Omega-distance that cannot be obtained by the usual fixed point results in the literature. We also add an application to illustrate our results.
Citation - WoS: 10
Citation - Scopus: 13
Some Fixed Point Theorems in Locally p-convex Spaces
(Springer international Publishing Ag, 2013) Gholizadeh, Leila; Karapinar, Erdal; Roohi, Mehdi; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
In this paper we investigate the existence of a fixed point of multivalued maps on almost p-convex and p-convex subsets of topological vector spaces. Our results extend and generalize some fixed point theorems on the topic in the literature, such as the results of Himmelberg, Fan and Glicksberg.
Citation - WoS: 6
Citation - Scopus: 5
α-(ψ, φ) Contractive mappings on quasi-partial metric spaces
(Springer international Publishing Ag, 2015) Karapinar, Erdal; Gholizadeh, Leila; Alsulami, Hamed H.; Noorwali, Maha; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
In this paper, we consider alpha- contractive mappings in the setting of quasi-partial metric spaces and verify the existence of a fixed point on such spaces. Moreover, we present some examples and applications in integral equations of our obtained results.