Browsing by Author "Ege M.E."

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    Relative homology groups of digital images
    (2014) Ege O.; Karaca I.; Ege M.E.
    In this paper we are interested in relative homology groups of digital images. Some properties of the Euler characteristics for digital images are given. We also present reduced homology groups for digital images. The main purpose is to obtain some differences between notions in digital topology and algebraic topology. © 2014 NSP Natural Sciences Publishing Cor.
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    Fixed point results and an application to homotopy in modular metric spaces
    (International Scientific Research Publications, 2015) Ege M.E.; Alaca C.
    The purpose of this paper is to define new concepts, such as T-orbitally w-completeness, orbitally w- continuity and almost weakly w-contractive mapping in the modular metric spaces. We prove some fixed point theorems for these related concepts and mappings in this space. Further, we give an application using the technique in [Lj. B. Ćirić, B. Samet, H. Aydi, C. Vetro, Appl. Math. Comput., 218 (2011), 2398-2406] and show that our results can be applied to homotopy. © 2015 All rights reserved.
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    Fixed point results for modular ultrametric spaces
    (Eudoxus Press, LLC, 2016) Alaca C.; Ege M.E.; Park C.
    In this study, we define the notion of modular ultrametric space. We present a fixed point theorem in modular spherically complete ultrametric space, and prove coincidence point theorem for three self maps in a modular spherically complete ultrametric space. © 2016 by Eudoxus Press, LLC, All rights reserved.
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    Some properties of modular S-metric spaces and its fixed point results
    (Eudoxus Press, LLC, 2016) Ege M.E.; Alaca C.
    In this paper, we introduce modular S-metric spaces and deal with their some properties. We also prove some fixed point theorems on complete modular S-metric spaces. © 2016 Eudoxus Press, LLC. All rights reserved.
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    Some results for modular b-metric spaces and an application to system of linear equations
    (Azerbaijan Mathematical Society, 2018) Ege M.E.; Alaca C.
    In this paper, we define the modular b-metric space with some new notions and prove Banach fixed point theorem and its two generalizations for the new space. At the end of the paper, we give an application of Banach contraction principle to a system of linear equations. © 2010 AZJM All rights reserved.