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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: 19Best 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: 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 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.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.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: 5Citation - Scopus: 4Existence and Uniqueness of Common Coupled Fixed Point Results Via Auxiliary Functions(Springer Singapore Pte Ltd, 2014) Chandok, S.; Karapinar, E.; Khan, M. Saeed; Saeed Khan, Mohammad; MathematicsThe purpose of this paper is to establish some coupled coincidence point theorems for mappings having a mixed g-monotone property in partially ordered metric spaces. Also, we present a result on the existence and uniqueness of coupled common fixed points. The results presented in the paper generalize and extend several well-known results in the literature.Article Citation - WoS: 4Citation - Scopus: 4Common Periodic Soft Points of the Asymptotic Sequences in Soft Metric Spaces(Yokohama Publ, 2017) Chen, Chi-Ming; Karapinar, Erdal; MathematicsThe purpose of this paper is to study the important properties of soft sets and soft metric spaces, and then we prove some theorems which assures the existence of common periodic soft points for the asymptotic sequences with respect to the soft Meir-Keeler type functions on a complete soft metric space. Our results generalize many recent fixed point results in the literature.Article Citation - WoS: 14Citation - Scopus: 13On the Fixed Point Theorems for Generalized Weakly Contractive Mappings On Partial Metric Spaces(Springer Singapore Pte Ltd, 2013) Chi, K. P.; Karapinar, E.; Thanh, T. D.; MathematicsIn this paper, we prove a fixed point theorem for a pair of generalized weakly contractive mappings in complete partial metric spaces. The are generalizations of very recent fixed point theorems due to Abdeljawad, Karapmar and Tas.
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