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Article Citation - WoS: 5Citation - Scopus: 14Existence of a Solution of Integral Equations Via Fixed Point Theorem(Springeropen, 2013) Gulyaz, Selma; Karapinar, Erdal; Rakocevic, Vladimir; Salimi, PeymanIn this paper, we establish a solution to the following integral equation: u(t) = integral(T)(0) G(t, s)f(s, u(s)) ds for all t is an element of [0,T], (1) where T > 0, f : [0, T] x R -> R and G : [0, T] x [0, T] -> [0, infinity) are continuous functions. For this purpose, we also obtain some auxiliary fixed point results which generalize, improve and unify some fixed point theorems 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, 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 Citation - WoS: 4Citation - Scopus: 5Fixed Point Results for Admissible z-contractions(House Book Science-casa Cartii Stiinta, 2018) Cvetkovic, Marija; Karapinar, Erdal; Rakocevic, VladimirIn 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.Article Citation - WoS: 13Citation - Scopus: 11Some Fixed Point Results on Quasi-b-metric-like Spaces(Springer international Publishing Ag, 2015) Cvetkovic, Marija; Karapinar, Erdal; Rakocevic, VladimirIn this paper, we investigate the existence and uniqueness of a fixed point of certain operators in the setting of complete quasi-b-metric-like spaces via admissible mappings. Our results improve, extend, and unify several well-known existence results.
