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  • Article
    Citation - WoS: 15
    Fixed Point Results for Various Α-Admissible Contractive Mappings on Metric-Like Spaces
    (Hindawi Ltd, 2014) Al-Mezel, Saleh A.; Chen, Chi-Ming; Karapinar, Erdal; Rakocevic, Vladimir
    We establish some fixed point theorems for alpha-admissible mappings in the context of metric-like space via various auxiliary functions. In particular, we prove the existence of a fixed point of the generalized Meir-Keeler type alpha-phi-contractive self-mapping.. defined on a metric- like space X. The given results generalize, improve, and unify several fixed point theorems for the generalized cyclic contractive mappings that have appeared recently in the literature.
  • Article
    Impact of Kannan Contraction on Khan Contraction and its Generalizations
    (Univ Belgrade, Fac Electrical Engineering, 2025) Cvetkovic, Marija; Karapinar, Erdal; Rakocevic, Vladimir
    Several concepts of rational contractions originated during the last 50 years with vivid discussion on possible applications and practical examples. The main topic of this article is a Khan contraction, its modifications and generalizations, with the emphasis on its relation to some well-known classes of contractive mappings. We prove that a Khan contraction is an example of Bianchini and, consequently, a Ciric contraction. Further, some of its generalizations present a special type of Kannan contraction.
  • Article
    Citation - WoS: 4
    Citation - Scopus: 5
    Fixed Point Results for Admissible z-contractions
    (House Book Science-casa Cartii Stiinta, 2018) Cvetkovic, Marija; Karapinar, Erdal; Rakocevic, Vladimir
    In this paper, we present some fixed point results in the setting of a complete metric spaces by defining a new contractive condition via admissible mapping embedded in simulation function.