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  • Article
    Citation - WoS: 27
    Citation - Scopus: 29
    On the Weak Form of Ekeland's Variational Principle in Quasi-Metric Spaces
    (Elsevier, 2015) Karapinar, Erdal; Romaguera, Salvador
    We show that a quasi-metric space is right K-sequentially complete if and only if it satisfies the property of the weak form of Eke land's Variational Principle. This result solves a question raised by S. Cobzas (2011) [3]. (C) 2015 Elsevier B.V. All rights reserved.
  • Article
    Citation - WoS: 15
    Citation - Scopus: 13
    Matkowski Theorems in the Context of Quasi-Metric Spaces and Consequences on g-metric Spaces
    (Sciendo, 2016) Karapinar, Erdal; Roldan-Lopez-de-Hierro, Antonio-Francisco; Samet, Bessem
    In this paper, we prove the characterization of a Matkowski's theorem in the setting of quasi-metric spaces. As a result, we observe that some recent fixed point results in the context of G-metric spaces are consequences of our main result.