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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.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 Citation - WoS: 6Citation - Scopus: 10On Quasi-Contraction Mappings of Ciric and Fisher Type Via ω-distance(Natl inquiry Services Centre Pty Ltd, 2019) Darko, Kocev; Karapinar, Erdal; Rakocevic, VladimirKada, Suzuki, and Takahashi introduced and studies the concept of omega- distance in fixed point theory. In this paper, we generalize and unify Ciric' and Fisher fixed points results for quasi-contractions on metric space to omega-distance on complete metric spaces. We also extend some results of Kada, Suzuki and Takahashi, and Suzuki. Our methods of proofs are new and even simpler than the corresponding methods in metric spaces.Article Citation - WoS: 27Citation - Scopus: 29Meir-Keeler Type Contractions on Modular Metric Spaces(Univ Nis, Fac Sci Math, 2018) Aksoy, Umit; Karapinar, Erdal; Erhan, Inci M.; Rakocevic, VladimirIn this paper we introduce contraction mappings of Meir-Keeler types on modular metric spaces and investigate the existence and uniqueness of their fixed points. We give an example which demonstrates our theoretical results.
