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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.Article Fixed Point Results on Perturbed B-Metric Space(Univ Belgrade, Fac Electrical Engineering, 2025) Karapinar, ErdalIn this paper, we introduce the notion of perturbed b-metric spaces and consider some basic topological notions on this new abstract structure. In addition, we shall discuss the existing and uniqueness of a fixed point in the setting of perturbed b-metric spaces.Editorial The Sixth International Workshop on Nonlinear Analysis and Its Applications Preface by the Guest Editors(Univ Belgrade, Fac Electrical Engineering, 2025) Karapinar, Erdal; Cvetkovic, Marija; Cirovic, Natasa A.
