WoS
Permanent URI for this collectionhttps://hdl.handle.net/20.500.14411/18
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Article Citation - WoS: 10Citation - Scopus: 16Cyclic Contractions on <i>g</I>-metric Spaces(Hindawi Ltd, 2012-01) Karapinar, E.; Yildiz-Ulus, A.; Erhan, I. M.Conditions for existence and uniqueness of fixed points of two types of cyclic contractions defined on G-metric spaces are established and some illustrative examples are given. In addition, cyclic maps satisfying integral type contractive conditions are presented as applications.Article Citation - WoS: 16Citation - Scopus: 26Fixed Point Theory for Cyclic Generalized Weak Φ-Contraction on Partial Metric Spaces(Hindawi Ltd, 2012-01) Karapinar, Erdal; Yuce, I. SavasA new fixed point theorem is obtained for the class of cyclic weak phi-contractions on partially metric spaces. It is proved that a self-mapping T on a complete partial metric space X has a fixed point if it satisfies the cyclic weak phi-contraction principle.Article Citation - WoS: 11Citation - Scopus: 8Coupled Coincidence Point and Coupled Fixed Point Theorems via Generalized Meir-Keeler Type Contractions(Hindawi Ltd, 2012-01) Aydi, Hassen; Karapinar, Erdal; Erhan, Inci M.We prove coupled coincidence point and coupled fixed point results of F : X x X -> X and g : X -> X involving Meir-Keeler type contractions on the class of partially ordered metric spaces. Our results generalize some recent results in the literature. Also, we give some illustrative examples and application.Article Citation - WoS: 21Citation - Scopus: 20Coupled Coincidence Point Theorem in Partially Ordered Metric Spaces Via Implicit Relation(Hindawi Ltd, 2012-01) Nguyen Manh Hung; Karapinar, Erdal; Nguyen Van Luong; Hung, Nguyen Manh; Luong, Nguyen Van; Van Luong, NguyenWe prove a coupled coincidence point theorem for mappings F : X x X -> X and g : X -> X, where F has the mixed g-monotone property, in partially ordered metric spaces via implicit relations. Our result extends and improves several results in the literature. Examples are also given to illustrate our work.Article Citation - WoS: 16Citation - Scopus: 17A Generalized Meir-Keeler Contraction on Partial Metric Spaces(Hindawi Ltd, 2012-01) Aydi, Hassen; Karapinar, Erdal; Rezapour, Shahram; Karapnar, ErdalWe introduce a generalization of the Meir-Keeler-type contractions, referred to as generalized Meir-Keeler-type contractions, over partial metric spaces. Moreover, we show that every orbitally continuous generalized Meir-Keeler-type contraction has a fixed point on a 0-complete partial metric space.Article Citation - WoS: 5Citation - Scopus: 5Concentration Dependent Different Action of Progesterone on the Order, Dynamics and Hydration States of the Head Group of Dipalmitoyl-Phosphatidylcholine Membrane(Hindawi Ltd, 2005-01) Korkmaz, F; Kirbiyik, H; Severcan, FInteractions of progesterone with zwitterionic dipalmitoyl phosphatidylcholine (DPPC) multilamellar liposomes (MLVs) were investigated as a function of progesterone concentration at selected temperatures monitoring both the gel and liquid crystalline phase, by using Fourier Transform Infrared spectroscopy (FTIR). It has been show that the effect of progesterone on membrane dynamics is dependent on progesterone concentration. At 1 mol%, which is close to physiological level, progesterone behaves differently. At this concentration the decrease in dynamics is more noticeable. Additionally a dramatic decrease in the strength of hydrogen bonding in the interfacial region of the bilayer is also observed. When concentration increases up to 12 mol% opposite behaviour is observed at all interactions. Above 12 mol%, progesterone-DPPC interactions shows almost linear plot.Article Citation - WoS: 10Citation - Scopus: 12Best Proximity Points of Generalized Semicyclic Impulsive Self-Mappings: Applications To Impulsive Differential and Difference Equations(Hindawi Ltd, 2013) De la Sen, M.; Karapinar, E.This paper is devoted to the study of convergence properties of distances between points and the existence and uniqueness of best proximity and fixed points of the so-called semicyclic impulsive self-mappings on the union of a number of nonempty subsets in metric spaces. The convergences of distances between consecutive iterated points are studied in metric spaces, while those associated with convergence to best proximity points are set in uniformly convex Banach spaces which are simultaneously complete metric spaces. The concept of semicyclic self-mappings generalizes the well-known one of cyclic ones in the sense that the iterated sequences built through such mappings are allowed to have images located in the same subset as their pre-image. The self-mappings under study might be in the most general case impulsive in the sense that they are composite mappings consisting of two self-mappings, and one of them is eventually discontinuous. Thus, the developed formalism can be applied to the study of stability of a class of impulsive differential equations and that of their discrete counterparts. Some application examples to impulsive differential equations are also given.Article Citation - WoS: 3Citation - Scopus: 7Some Almost Generalized (ψ, Φ)-Contractions in <i>g</I>-metric Spaces(Hindawi Ltd, 2013) Aydi, Hassen; Amor, Sana Hadj; Karapinar, Erdal; Hadj Amor, SanaIn this paper, we introduce some almost generalized (psi, phi)-contractions in the setting of G-metric spaces. We prove some fixed points results for such contractions. The presented theorems improve and extend some known results in the literature. An example is also presented.Letter Citation - WoS: 3Citation - Scopus: 1Comment on "perturbation Analysis of the Nonlinear Matrix Equation <i>x</I>-σ<sub><i>i< <i>a<sub>i</Sub>< = <i>q</I>"(Hindawi Ltd, 2013) Berzig, Maher; Karapinar, ErdalWe show that the perturbation estimate for the matrix equation ? ?? - ?? ?? = 1 ?? * ?? ?? ?? ?? ?? ?? = ?? due to J. Li, is wrong. Our discussion is supported by a counterexample.Article Citation - WoS: 7Citation - Scopus: 7On the <i>q</I>-bernstein Polynomials of Unbounded Functions With <i>q</I> > 1(Hindawi Ltd, 2013) Ostrovska, Sofiya; Ozban, Ahmet YasarThe aim of this paper is to present new results related to the q-Bernstein polynomials B-n,B-q (f;x) of unbounded functions in the case q > 1 and to illustrate those results using numerical examples. As a model, the behavior of polynomials B-n,B-q (f;x) is examined both theoretically and numerically in detail for functions on [0, 1] satisfying f(x) similar to Kx(-alpha) as x -> 0(+), where alpha > 0 and K not equal 0 are real numbers.
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