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  • 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.
  • Article
    Citation - WoS: 5
    AN IMPLICIT RELATION FOR MEIR-KEELER TYPE MAPPINGS ON METRIC-LIKE SPACES
    (Univ Prishtines, 2017) Aydi, Hassen; Felhi, Abdelbasset; Karapinar, Erdal; Alshaikh, H. Ali
    In this note, we introduce an implicit relation for Meir-Keeler type mappings via auxiliary pair of functions (alpha,psi) in the context of metric-like spaces. We investigate the existence and uniqueness of a common fixed point of such operators. The obtained results extend, improve and unify several existing fixed point results in the literature.