Browsing by Publisher "International Scientific Research Publications"

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    Complex valued rectangular b-metric spaces and an application to linear equations
    (International Scientific Research Publications, 2015) Ege O.
    In this paper, we introduce complex valued rectangular b-metric spaces. We prove an analogue of Banach contraction principle. We also prove a different contraction principle with a new condition and a fixed point theorem in this space. Finally, we give an application of Banach contraction principle to linear equations. © 2015 All rights reserved.
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    Banach fixed point theorem for digital imagesa
    (International Scientific Research Publications, 2015) Ege O.; Karaca I.
    In this paper, we prove Banach fixed point theorem for digital images. We also give the proof of a theorem which is a generalization of the Banach contraction principle. Finally, we deal with an application of Banach fixed point theorem to image processing. © 2015 All rights reserved.
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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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    Bipolar metric spaces and some fixed point theorems
    (International Scientific Research Publications, 2016) Mutlu A.; Gürdal U.
    In this paper we introduce the concept of bipolar metric space as a type of partial distance. We explore the link between metric spaces and bipolar metric spaces, especially in the context of completeness, and prove some extensions of known fixed point theorems. © 2016 All rights reserved.