Yazar "Karakaya, Vatan" seçeneğine göre listele

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    Banach-saks type and gurarii modulus of convexity of some banach sequence spaces
    (Hindawi Publishing Corporation, 2014) Hudzik, Henryk; Karakaya, Vatan; Mursaleen, Mohammad; Şimşek, Necip
    Banach-Saks type is calculated for two types of Banach sequence spaces and Gurarii modulus of convexity is estimated from above for the spaces of one type among them.
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    Convergence analysis for a new faster iteration method
    (İstanbul Ticaret Üniversitesi, 2016) Karakaya, Vatan; Atalan, Yunus; Doğan, Kadri; Bouzara, Nour El Houda
    In this paper, we introduce a new iteration method and show that this iteration method can be used to approximate fixed point of almost contraction mappings. Furthermore, we prove that the new iteration method is equivalent to both Mann iteration method and Picard-Mann hybrid iteration method and also converges faster than Picard-Mann hybrid iteration method for the class of almost contraction mappings. In addition to these we give a table and graphics for support this result. Finally, we prove a data dependence result for almost contraction mappings by using the new iteration method.
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    Difference sequence spaces derived by using a generalized weighted mean
    (2011) Polat H.; Karakaya, Vatan; Şimşek, Necip
    In this work, we define new sequence spaces by combining a generalized weighted mean and a difference operator. Afterward, we investigate topological structures, which have completeness, AK-property, and AD-property. Also, we compute the ?-, ?- and ?-duals, and obtain bases for these sequence spaces. Finally, the necessary and sufficient conditions on an infinite matrix belonging to the classes (c(u,?,?):??) and (c(u, ?,?):c) are obtained. © 2011 Elsevier Ltd. All rights reserved.
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    Investigation of shielding properties of some boron compounds
    (Elsevier Ltd, 2013) İçelli, Orhan; Mann, K.S.; Yalçın, Zeynep; Orak, Salim; Karakaya, Vatan
    Gamma and X-ray photon interaction parameters such as the equivalent atomic number (Zeq), effective atomic number Zeff, and exposure and energy absorption buildup factor have been computed for some boron compounds in the energy range of 15–100 keV. We have used WinXCom and ZXCom software to calculate the effective atomic number from Rayleigh/Compton (R/C) ratios. Finally, the selected boron compounds have been analyzed for application as radiation shielding materials. It is concluded that boric acid (M6) and concentrated colemanite (M1) have better shielding capability among the selected samples. © 2013 Elsevier Ltd
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    Lacunary statistical convergence of sequences of functions in intuitionistic fuzzy normed space
    (2014) Karakaya, Vatan; Şimşek, Necip; Gürsoy, Faik; Ertürk, Müzeyyen
    In this paper we study lacunary statistical convergence of sequences of functions in intuitionistic fuzzy normed spaces. We define concept of lacunary statistical pointwise convergence and lacunary statistical uniform convergence in intuitionistic fuzzy normed spaces and we give some basic properties of these concepts. © 2014 - IOS Press and the authors. All rights reserved.
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    Measure of noncompactness of matrix operators on some difference sequence spaces of weighted means
    (2011) Mursaleen, Mohammad; Karakaya, Vatan; Polat, Harun; Şimşek, Necip
    For a sequence x=(xk), we denote the difference sequence by ?x=(xk-xk-1). Let u=(uk)k=0? and v=(vk)k=0? be the sequences of real numbers such that uk?0, vk?0 for all k?N. The difference sequence spaces of weighted means ?(u,v,?) are defined as ?(u,v,?)=x=(xk):W(x)??, where ?= c,c0 and ?? and the matrix W=(wnk) is defined by wnk=un(vk-vk+1);(k<n) ,unvn;(k=n),0;(k>n). In this paper, we establish some identities or estimates for the operator norms and the Hausdorff measures of noncompactness of certain matrix operators on ?(u,v,?). Further, we characterize some classes of compact operators on these spaces by using the Hausdorff measure of noncompactness. © 2011 Elsevier Ltd. All rights reserved.
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    New matrix domain derived by the matrix product
    (University of Nis, 2016) Karakaya, Vatan; Şimşek, Necip; Doğan, Kadri
    In this work, we define new sequence spaces by using the matrix obtained by product of factorable matrix and generalized difference matrix of order m. Afterward, we investigate topological structure which are completeness, AK-property, AD-property. Also, we compute the ?-, ?- and ? - duals, and obtain bases for these sequence spaces. Finally we give necessary and sufficient conditions on matrix transformation between these new sequence spaces and c, ??. © 2016, University of Nis. All rights reserved.
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    On almost p-bounded variation of lacunary sequences
    (2011) Karakaya, Vatan; Savaş, Ekrem
    In this work, we generalize the lacunary almost bounded variation sequence spaces to lacunary almost p-bounded variation sequence spaces. Also some topological results and inclusion relations of such spaces have been discussed.
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    ON BEHAVIOUR OF DARBO FIXED POINT THEOREM UNDER FUNCTION SEQUENCES
    (Yokohama Publ, 2019) Karakaya, Vatan; Sekman, Derya; Şimşek, Necip
    A lot of work has been done on fixed point studies using function classes. In this work, the existence of fixed point is investigated by taking function sequences instead of function classes. This idea has been applied to the Darbo fixed point theorem and obtained some results. Also, the study was supported by an interesting example held the conditions of function sequences.
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    On F-Weak Contraction of Generalized Multivalued Integral Type Mappings with alpha-admissible
    (UNIV MARAGHEH, 2020) Karakaya, Vatan; Simsek, Necip; Sekman, Derya
    The purpose of this work is to investigate the existence of fixed points of some mappings in fixed point theory by combining some important concepts which are F-weak contractions, multivalued mappings, integral transformations and alpha-admissible mappings. In fixed point theory, it is important to find fixed points of some classess under F- or F-weak contractions. Also multivalued mappings are the other important classes. Along with that, alpha-admissible mapping is a different approach in the fixed point theory. According to this method, a single or multivalued mapping does not have a fixed point in general. But, under some restriction on the mapping, a fixed point can be obtained. In this article, we combine four significant notions and also establish fixed point theorem for this mappings in complete metric spaces. Moreover, we give an example to show the interesting of our results according to earlier results in literature.
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    On fine spectra and subspectrum (approximate point, defect and compression) of operator with periodic coefficients
    (Yokohama Publications, 2017) Karakaya, Vatan; Dzh. Manafov, Manaf; Şimşek, Necip
    The main purpose of this work is to determine of fine spectra and subspectra such as approximate point spectrum, defect spectrum and compression spectrum of the difference operator with periodic coefficients over the sequence spaces ?1.. © 2017.
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    On geometrical properties of some Banach spaces
    (2013) Şimşek, Necip; Savaş, Ekrem; Karakaya, Vatan
    In this work, we prove that modular spaces V ?(?; p) defined in [26] have the k-nearly uniform convexity(k - NUC property) when they are endowed with the Luxemburg norm. We also prove that these spaces have the uniform Opial property with the Luxemburg norm. The above investigated geometric properties will enable us to obtain some fixed point results inmodular spaces. © 2013 NSP. Natural Sciences Publishing Cor.
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    On ideal convergence of sequences of functions in intuitionistic fuzzy normed spaces
    (2014) Karakaya, Vatan; Şimşek, Necip; Ertürk, Müzeyyen; Gürsoy, Faik
    In this work, our purpose is to introduce I-convergence of sequences of functions in intuitionistic fuzzy normed space by combining the I-convergence, the sequences of functions and the intuitionistic fuzzy normed spaces, and to investigate relations among concepts such as I-convergence, statistical convergence and the usual convergence of sequences of functions in intuitionistic fuzzy normed space. © 2014 NSP Natural Sciences Publishing Cor.
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    On some geometrical properties of certain vector-valued sequence spaces
    (2010) Şimşek, Necip; Karakaya, Vatan
    In this paper, we introduce the generalized Cesáro vector-valued sequence space ces(X, pn, qn) equipped with the Luxemburg norm. Further, we show some topological properties of this space with respect to the Luxemburg norm. Finally, it is proved that the space ces(X, pn, qn) has Kadec-Klee (H) property and we also give a counterexample concerning not rotundity of the vector-valued space ces(X, pn, qn). © 2010 Pushpa Publishing House.
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    On some properties of new paranormed sequence space of nonabsolute type
    (Hindawi Publishing Corporation, 2012) Karakaya, Vatan; Şimşek, Necip
    We introduce some new generalized sequence space related to the space l(p). Furthermore we investigate some topological properties as the completeness, the isomorphism, and also we give some inclusion relations between this sequence space and some of the other sequence spaces. In addition, we compute alpha-, beta-, and gamma-duals of this space and characterize certain matrix transformations on this sequence space.
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    On the Behaviour of the spectral characteristic of Feigenbaum’s map
    (Pleiades Publishing, 2012) Dzhalilov, Akhtam Abdurakhmanovich; Karakaya, Vatan; Şimşek, Necip
    Let T(formula presented.), as n ? ?, where the constant q ? (0, 1) does not depend on f. © 2012, Pleiades Publishing, Ltd.
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    On the fine spectrum of the second order difference operator over the sequence spaces ? p and bvp,(1<p<?)
    (2012) Karakaya, Vatan; Manafov, M.D.; Şimşek, Necip
    In general, the behaviors of the symmetric tri-band matrices on the Hilbert spaces are well known. But the symmetric tri-band matrices have different behavior on the Banach spaces. The main purpose of this work is to determine the fine spectra of the operator U(s, r, s) defined by symmetric tri-band matrix over the sequence spaces ? p and bvp. © 2011 Elsevier Ltd.
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    Operators ideals of generalized modular spaces of ceáro type defined by weighted means
    (Eudoxus Press, LLC, 2015) Şimşek, Necip; Karakaya, Vatan; Polat, Harun
    In this work, we investigate the ideal of all bounded linear operators between any arbitrary Banach spaces whose sequence of approximation numbers belong to the generalized modular spaces of Cesáro type defined by weighted means. Also, we show that the completeness of obtained operator ideals. © 2015, Eudoxus Press, LLC. All rights reserved.
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    Operators ideals of generalized modular spaces of Cesaro type defined by weighted means
    (Eudoxus Press, Llc, 2015) Şimşek, Necip; Karakaya, Vatan; Polat, Harun
    In this work, we investigate the ideal of all bounded linear operators between any arbitrary Banach spaces whose sequence of approximation numbers belong to the generalized modular spaces of Cesaro type defined by weighted means. Also, we show that the completeness of obtained operator ideals.
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    SOME GEOMETRIC AND TOPOLOGICAL PROPERTIES OF A NEW SEQUENCE SPACE DEFINED BY DE LA VALLEE-POUSSIN MEAN
    (Eudoxus Press, LLC, 2010) Şimşek, Necip; Savaş, Ekrem; Karakaya, Vatan
    The main purpose of this paper is to introduce a new sequence space by using de la Vallee-Poussin mean and investigate both the modular structure with some geometric properties and some topological properties with respect to the Luxemburg norm.