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Article Impact of Kannan Contraction on Khan Contraction and its Generalizations(Univ Belgrade, Fac Electrical Engineering, 2025) Cvetkovic, Marija; Karapinar, Erdal; Rakocevic, VladimirSeveral 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.
