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Now showing 1 - 3 of 3
  • Article
    Citation - WoS: 22
    Citation - Scopus: 23
    A Coupled Fixed Point Result in Partially Ordered Partial Metric Spaces Through Implicit Function
    (Hacettepe Univ, Fac Sci, 2013) Gulyaz, Selma; Karapinar, Erdal; Mathematics
    In this manuscript, we discuss the existence of coupled fixed points in the context of partially ordered metric spaces through implicit relations for mappings F:X x X -> X such that F has the mixed monotone property. Our main theorem improves and extends various results in the literature. We also state an example to illustrate our work.
  • Article
    Citation - WoS: 68
    An Ulam stability result on quasi-b-metric-like spaces
    (Sciendo, 2016) Alsulami, Hamed H.; Gulyaz, Selma; Karapinar, Erdal; Erhan, Inci M.
    In this paper a class of general type alpha-admissible contraction mappings on quasi-b-metric-like spaces are defined. Existence and uniqueness of fixed points for this class of mappings is discussed and the results are applied to Ulam stability problems. Various consequences of the main results are obtained and illustrative examples are presented.
  • Article
    Citation - WoS: 18
    Citation - Scopus: 24
    Generalized Α -Meir Contraction Mappings on Branciari B-Metric Spaces
    (Univ Nis, Fac Sci Math, 2017) Gulyaz, Selma; Karapinar, Erdal; Erhan, Inci M.
    In this paper, alpha-Meir-Keeler and generalized alpha-Meir-Keeler contractions on Branciari b-metric spaces are introduced. Existence and uniqueness of fixed points of such contractions are discussed and related theorems are proved. Various consequences of the main results are also presented.