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Article Citation - WoS: 8Citation - Scopus: 9On Common Fixed Point Theorems Without Commuting Conditions in Tvs-Cone Metric Spaces(Eudoxus Press, Llc, 2011) Karapinar, Erdal; Yuksel, Ugur; MathematicsIn this manuscript, some common fixed point theorems without any commuting conditions investigated in TVS-valued metric spaces.Article Citation - WoS: 19Citation - Scopus: 18Best Proximity Point Theorems for kt-types Cyclic Orbital Contraction Mappings(House Book Science-casa Cartii Stiinta, 2012) Karapinar, Erdal; Petrusel, Gabriela; Tas, Kenan; MathematicsIn this manuscript, three new KT-types cyclic orbital contractions are defined and some related best proximity point theorems are given. Also, the notion of KT-type cyclic orbital Meir-Keeler contraction is defined and some fixed point theorems for this class of mappings are proved. The results of this manuscript generalize some theorems, on the same subject, of several authors, such as Kirk-Srinavasan-Veeramani, Eldered-Veeramani and Karpagam-Agrawal.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: 22Citation - Scopus: 23A Coupled Fixed Point Result in Partially Ordered Partial Metric Spaces Through Implicit Function(Hacettepe Univ, Fac Sci, 2013) Gulyaz, Selma; Karapinar, Erdal; MathematicsIn this manuscript, we discuss the existence of coupled fixed points in the context of partially ordered metric spaces through implicit relations for mappings F:X x X -> X such that F has the mixed monotone property. Our main theorem improves and extends various results in the literature. We also state an example to illustrate our work.Article Common Fixed Point Theorem for Three Mappings in Banach Valued Norm Spaces(Gazi Univ, 2013) Karapinar, Erdal; Moradlou, Fridoun; Salimi, Peyman; MathematicsIn this paper, we give a generalized theorem on point of coincidence and common fixed point for three weakly compatible mappings in Banach valued norm spaces. We give a new method for construction of the sequence, which is convergence to the common fixed point of these three mappings.Conference Object Citation - WoS: 2Citation - Scopus: 1Rational Forms That Imply the Uniqueness of Fixed Points in Partial Metric Spaces(Yokohama Publ, 2019) Karapinar, Erdal; MathematicsIn this paper, we investigate the existence and uniqueness of fixed points of Jaggi type contractions by using a simulation function in the framework of partial metric spaces. Our results improve, extend and unify several results on the topic in the literature.Article Citation - WoS: 14Citation - Scopus: 7Some Fixed Points Results on Branciari Metric Spaces Via Implicit Functions(North Univ Baia Mare, 2015) Karapinar, Erdal; MathematicsIn this paper, we introduce the notion of alpha-implicit contractive mapping of integral type in the context of Branciari metric spaces. The results of this paper, generalize and improve several results on the topic in literature. We give an example to illustrate our results.Article Citation - WoS: 16Citation - Scopus: 19Fixed Point Theorems in Quasi-Metric Spaces and Applications To Multidimensional Fixed Point Theorems on g-metric Spaces(Yokohama Publ, 2015) Agarwal, Ravi; Karapinar, Erdal; Roldan-Lopez-De-Hierro, Antonio-Francisco; MathematicsIn this manuscript, we investigate the equivalence of the coupled fixed point theorems in quasi-metric spaces and in G-metric spaces. We also notice that coupled fixed point theorems in the setting of G-metric spaces can be derived from their corresponding versions in quasi-metric spaces. Our results generalize and unify several fixed point theorems in the context of G-metric spaces in the literature.Article Citation - WoS: 1Relationships Between Tropical Eigenvectors and Tropical Fixed Points of the Group gl(2, R)(Forum Editrice Univ Udinese, 2020) Hayat, Umar; Farid, Ghulam; Karapinar, Erdal; MathematicsThe eigenvalues, eigenvectors and fixed points of matrices have many applications in various branches of science and many mathematical disciplines. In this paper first we introduce the concept of tropical fixed points, then we calculate the tropical eigenvalues and tropical eigenvectors of GL(2, R). Furthermore we give relationships between tropical eigenvectors and tropical fixed points of GL(2, R).Article Citation - WoS: 16Citation - Scopus: 20Common Fixed Point Theorems in Cone Banach Spaces(Hacettepe Univ, Fac Sci, 2011) Abdeljawad, Thabet; Karapinar, Erdal; Tas, Kenan; MathematicsRecently, E. Karapinar (Fixed Point Theorems in Cone Banach Spaces, Fixed Point Theory Applications, Article ID 609281, 9 pages, 2009) presented some fixed point theorems for self-mappings satisfying certain contraction principles on a cone Banach space. Here we will give some generalizations of this theorem.
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