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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.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: 51Citation - Scopus: 55Couple Fixed Point on Cone Metric Spaces(Gazi Univ, 2011) Karapinar, Erdal; MathematicsIn this article, some couple fixed point theorems are proved for the class of Banach valued metric spaces. The results are proved without any additional conditions such as normality or regularity.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.
