Browsing by Publisher "Association of Mathematicians (MATDER)"

Now showing 1 - 4 of 4
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    On Involute-Evolute Curve Pair in Semi-Euclidean Space
    (Association of Mathematicians (MATDER), 2021) Aydın T.A.; Kocayigit H.
    In this study, a kind of generalized involute and evolute curve pair is considered in 4 dimensional semi Euclidean space with 2 index. The curvatures and the associated Frenet Frame of this kind of generalized involute-evolute curve pair are presented. © MatDer.
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    Some Common Fixed Point Theorems in Bipolar Metric Spaces
    (Association of Mathematicians (MATDER), 2022) Mutlu A.; Özkan K.; Gürdal U.
    In this article, we introduce the notion of commutativity for covariant and contravariant mappings in bipolar metric spaces. Afterwards, by using this notion, we prove some common fixed point theorems which show the existence and uniqueness of common fixed point for covariant and contravariant mappings satisfying contractive type conditions. © MatDer.
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    A New Approach on Some Special Curves
    (Association of Mathematicians (MATDER), 2023) Aydın T.A.; Kocayiğit H.; Kara M.
    In this paper, we obtain some characterizations for a Frenet curve with the help of an alternative frame different from the Frenet frame. Also, in the present study, we consider weak biharmonic and harmonic 1-type curves by using the mean curvature vector field of the curve. We also study 1-type and biharmonic curves whose mean curvature vector field is in the kernel of Laplacian. We give some theorems for such curves in the Euclidean 3-space. Moreover, we give the classifications of these types of curves. © MatDer.
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    Di-Darboux Slant Helices on Surface
    (Association of Mathematicians (MATDER), 2024) Alkan A.; Kocayiğit H.; Ağırman Aydın T.
    In this study, we consider Di-Darboux slant helices which are new surface curves on an oriented surface. We give some characterizations for such curves according to the Darboux frame, OD-frame, ND-frame, RD-frame, and obtain axes of the Di-Darboux slant helices. Moreover, the position vectors of the Di-Darboux slant helices are obtained. © MatDer.