5 results
Search Results
Now showing 1 - 5 of 5
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; 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: 1Citation - Scopus: 1On a Symmetric Generalization of Bivariate Sturm-Liouville Problems(Springer Singapore Pte Ltd, 2022) Tefo, Yves Guemo; Aktas, Rabia; Area, Ivan; Lekesiz, Esra GuldoganA new class of partial differential equations having symmetric orthogonal solutions is presented. The general equation is presented and orthogonality is obtained using the Sturm-Liouville approach. Conditions on the polynomial coefficients to have admissible partial differential equations are given. The general case is analyzed in detail, providing orthogonality weight function, three-term recurrence relations for the monic orthogonal polynomial solutions, as well as explicit form of these monic orthogonal polynomial solutions, which are solutions of an admissible and potentially self-adjoint linear second-order partial differential equation of hypergeometric type.Article Citation - WoS: 6Citation - Scopus: 8Discussion on α-strictly Contractive Nonself Multivalued Maps(Springer Singapore Pte Ltd, 2016) Ali, Muhammad Usman; Kamran, Tayyab; Karapinar, ErdalIn this paper, we introduce the notions of alpha-contractive condition and strict alpha-admissibility for nonself multivalued mappings. By using these notions, we prove fixed point theorems for nonself multivalued mappings. We also construct an example to support our result.Article Citation - WoS: 14Citation - Scopus: 12On 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.Article Citation - WoS: 7Citation - Scopus: 6Qualitative Properties of the Solution of a System of Operator Inclusions in b-metric Spaces Endowed With a Graph(Springer Singapore Pte Ltd, 2018) Chifu, Cristian; Karapinar, Erdal; Petrusel, GabrielaThe purpose of this paper is to present existence and uniqueness results for the solution of a system of operator inclusions. Data dependence, well-posedness, Ulam-Hyers stability, and Ostrovski stability of the coupled fixed point system are studied. The basic idea is to apply a fixed point theorem for an appropriate operator on the Cartesian product of a given b-metric space endowed with a graph.
