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Article Citation - WoS: 7Citation - Scopus: 9A New Approach To the Existence and Uniqueness of Solutions for A Class of Nonlinear Q-Fractional Boundary Value Problems(Institute of Applied Mathematics of Baku State University, 2025) Karapinar, E.; Sevinik-Adiguzel, R.; Aksoy, U.; Erhan, I. M.The object of this study is a boundary value problem associated with a q-difference equation of fractional order. The existence and uniqueness of a solution in the case of multi-point boundary conditions is studied from the viewpoint of fixed point theory. An integral equation equivalent to the boundary value problem is derived and the fixed points of the related integral operator are investigated by using a contractive condition involving a comparison function. The Ulam-Hyers stability of the problem is also discussed. Theoretical results are followed by a particular example.Article Citation - WoS: 7Citation - Scopus: 9Cyclic Contractions and Related Fixed Point Theorems on g-metric Spaces(Natural Sciences Publishing Corp-nsp, 2014) Bilgili, N.; Erhan, I. M.; Karapinar, E.; Turkoglu, D.Very recently, Jleli and Samet [53] and Samet et. al. [52] reported that some fixed point result in G-metric spaces can be derived from the fixed point theorems in the setting of usual metric space. In this paper, we prove the existence and uniqueness of fixed points of certain cyclic mappings in the context of G-metric spaces that can not be obtained by usual fixed point results via techniques used in [53,52]. We also give an example to illustrate our statements.Article Citation - WoS: 74Citation - Scopus: 74Fixed Point Theorems on Quasi-Partial Metric Spaces(Pergamon-elsevier Science Ltd, 2013) Karapinar, Erdal; Erhan, I. M.; Ozturk, AliIn this paper, the concept of a quasi-partial metric space is introduced, and some general fixed point theorems in quasi-partial metric spaces are proved. (C) 2012 Elsevier Ltd. All rights reserved.Article Citation - WoS: 63Citation - Scopus: 61Fixed Point Theorem for Cyclic Maps on Partial Metric Spaces(Natural Sciences Publishing Corp-nsp, 2012) Karapinar, E.; Erhan, I. M.; Ulus, A. Yildiz; MathematicsIn this paper, a class of cyclic contractions on partial metric spaces is introduced. A fixed point theorem for cyclic contractions on partial metric spaces satisfying (psi, phi) contractive condition, and illustrative examples are given.Article Citation - WoS: 13DIFFERENT TYPES MEIR-KEELER CONTRACTIONS ON PARTIAL METRIC SPACES(Eudoxus Press, Llc, 2012) Erhan, I. M.; Karapinar, E.; Turkoglu, D.In this manuscript, Meir-Keeler contractions on partial metric spaces are introduced. It is shown that if a self-mapping T on a complete partial metric spaces is a Meir-Keeler contraction, then T has a unique fixed point.Article Citation - WoS: 10Citation - Scopus: 16Cyclic Contractions on g-metric Spaces(Hindawi Ltd, 2012) Karapinar, E.; Yildiz-Ulus, A.; Erhan, I. M.Conditions for existence and uniqueness of fixed points of two types of cyclic contractions defined on G-metric spaces are established and some illustrative examples are given. In addition, cyclic maps satisfying integral type contractive conditions are presented as applications.
