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Article Citation - WoS: 40Citation - Scopus: 50Fixed Points of (ψ, Φ) Contractions on Rectangular Metric Spaces(Springer international Publishing Ag, 2012) Erhan, Inci M.; Karapinar, Erdal; Sekulic, TanjaExistence and uniqueness of fixed points of a general class of (psi, phi) contractive mappings on complete rectangular metric spaces are discussed. One of the theorems is a generalization of a fixed point theorem recently introduced by Lakzian and Samet. Fixed points of (psi, phi) contractions under conditions involving rational expressions are also investigated. Several particular cases and applications as well as an illustrative example are given.Article Citation - WoS: 47Citation - Scopus: 52Some Remarks on Multidimensional Fixed Point Theorems(House Book Science-casa Cartii Stiinta, 2014) Roldan, A.; Martinez-Moreno, J.; Roldan, C.; Karapinar, E.; MathematicsIn this paper, we show that most of the multidimensional (including coupled, tripled, quadrupled) fixed point theorems in the context of (ordered) metric spaces are, in fact, immediate consequences of well-known fixed point theorems in the literature.Article Citation - WoS: 4Citation - Scopus: 4Existence of Positive Solutions of a Sturm-Liouville Bvp on an Unbounded Time Scale(Taylor & Francis Ltd, 2008) Topal, S. Gulsan; Yantir, Ahmet; Cetin, ErbilA fixed point theorem of Guo-Krasnoselskii type is used to establish existence results for the nonlinear Sturm-Liouville dynamic equation (p(t)x(Delta))(del) + lambda phi(t)f(t,x(t)) = 0 with the boundary conditions on an unbounded time scale. Later on the positivity and the boundedness of the solutions are obtained by imposing some conditions on f.Article Citation - WoS: 1Citation - Scopus: 2On an Extension of Contractivity Conditions Via Auxiliary Functions(Springer international Publishing Ag, 2015) Agarwal, Ravi P.; Karapinar, Erdal; Roldan-Lopez-de-Hierro, Antonio-FranciscoIn this manuscript, we study sufficient conditions on the functions that appears in very complex contractivity conditions introduced in a recent manuscript by Liu et al. in order to guarantee the existence and uniqueness of common fixed points of four self-mappings.
