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  • Article
    Citation - Scopus: 2
    Remarks on Contractive Mappings Via Ω-Distance
    (Springeropen, 2013) Gholizadeh, Leila; Karapinar, Erdal
    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.
  • Article
    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
    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.
  • Article
    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
    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.