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  • Article
    Citation - WoS: 90
    Citation - Scopus: 95
    Common Fixed Points for Single-Valued and Multi-Valued Maps Satisfying a Generalized Contraction in -Metric Spaces
    (Springer int Publ Ag, 2012) Tahat, Nedal; Aydi, Hassen; Karapinar, Erdal; Shatanawi, Wasfi
    In this article, we establish some common fixed point theorems for a hybrid pair {} of single valued and multi-valued maps satisfying a generalized contractive condition defined on -metric spaces. Our results unify, generalize and complement various known comparable results from the current literature. 54H25; 47H10; 54E50.
  • Article
    Citation - WoS: 24
    Citation - Scopus: 25
    On Common Best Proximity Points for Generalized Α - Ψ-Proximal Contractions
    (int Scientific Research Publications, 2016) Aydi, Hassen; Felhi, Abdelbasset; Karapinar, Erdal
    We establish some common best proximity point results for generalized alpha - psi-proximal contractive non -self mappings. We provide some concrete examples. We also derive some consequences on some best proximity results on a metric space endowed with a graph. (C) 2016 All rights reserved.
  • Article
    Citation - WoS: 48
    Citation - Scopus: 46
    On Common Fixed Points in the Context of Brianciari Metric Spaces
    (Springer Basel Ag, 2017) Aydi, Hassen; Karapinar, Erdal; Zhang, Dong
    In this paper, we introduce the concept of generalized ()-contractions and generalized ()-Meir-Keeler-contractions in the setting of Brianciari metric spaces. We prove some common fixed point results for such contractions. An example is presented making effective the new concepts and results.