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  • Article
    Generalized Partial Metric Spaces With a Fixed Point Theorem
    (Islamic Azad Univ, Shiraz Branch, 2019) Aydi, H.; Karapinar, E.
    In this paper, we introduce the notion of extended partial metric space and we present some fixed point theorems in generalized partial metric spaces involving linear and nonlinear contractions.
  • Article
    Citation - WoS: 47
    Citation - Scopus: 46
    A Nadler-Type Fixed Point Theorem in Dislocated Spaces and Applications
    (Univ Miskolc inst Math, 2018) Aydi, H.; Felhi, A.; Karapinar, Erdal; Sahmim, S.
    In this paper, we introduce the concept of a Hausdorff dislocated metric. We initiate the study of fixed point theory for multi-valued mappings on dislocated metric space using the Hausdorff dislocated metric and we prove a generalization of the well known Nadler's fixed point theorem. Moreover, we provide some examples and we give an application of our main result.