Browsing by Author "Ege, ME"

Now showing 1 - 6 of 6
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    C*-ALGEBRA-VALUED S-METRIC SPACES
    Ege, ME; Alaca, C
    In this study, we present the concept of a C*-algebra-valued S-metric space. We prove Banach contraction principle in this space. Finally, we prove a common fixed point theorem in C*-algebra-valued S-metric spaces defining new notions such as L-condition and k-contraction.
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    SOME PROPERTIES OF MODULAR S-METRIC SPACES AND ITS FIXED POINT RESULTS
    Ege, ME; 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.
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    Fixed point results and an application to homotopy in modular metric spaces
    Ege, ME; 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. Ciric, B. Samet, H. Aydi, C. Vetro, Appl. Math. Comput., 218 (2011), 2398-2406] and show that our results can be applied to homotopy. (C)2015 All rights reserved.
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    Some Results for Modular b-Metric Spaces and an Application to System of Linear Equations
    Ege, ME; 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.
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    Fixed point results for modular ultrametric spaces
    Alaca, C; Ege, ME; 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.
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    Relative Homology Groups of Digital Images
    Ege, O; Karaca, I; Ege, ME
    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.