Filtreler

2022 - 20244
Filtreleri Sıfırla

Ayarlar

Bölüm: Işık University, Faculty of Engineering and Natural Sciences, Department of Mathematics × WoS Q: Q3 ×

Arama Sonuçları

Listeleniyor 1 - 4 / 4
  • Küçük Resim
    Yayın
    On Caputo fractional Bertrand curves in E3 and E31
    (Univ Nis, Fac Sci Math, 2024) Taşdemir, Mert; Canfes, Elif Özkara; Uzun, Banu
    In this article, we examine Bertrand curves in E3 and E31 by using the Caputo fractional derivative which we call alpha-Bertrand Curves. First, we consider alpha-Bertrand curves in E3 and we give a characterization of them. Then, we study alpha-Bertrand curves in E31 and we prove the necessary and sufficient condition for a alpha-Bertrand curves in E31 by considering time like, space like and null curves. We also give the related examples by using Python.
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    Bicocycle double cross constructions
    (World Scientific, 2023-12-01) Esen, Oğul; Guha, Partha; Sütlü, Serkan
    We introduce the notion of a bicocycle double cross product (sum) Lie group (algebra), and a bicocycle double cross product bialgebra, generalizing the unified products. On the level of Lie groups the construction yields a Lie group on the product space of two pointed manifolds, none of which being necessarily a subgroup. On the level of Lie algebras, a Lie algebra is obtained on the direct sum of two vector spaces, which are not required to be subalgebras. Finally, on the quantum level a bialgebra is obtained on the tensor product of two (co)algebras that are not necessarily sub-bialgebras.
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    Cohomologies and generalized derivations of n-Lie algebras
    (Electronic Journals Project, 2022) Ateşli, Begüm; Esen, Oğul; Sütlü, Serkan
    A cohomology theory associated to an n-Lie algebra and a representation space of it is introduced. It is shown that this cohomology theory classifies generalized derivations of n-Lie algebras as 1-cocycles, and inner generalized derivations as 1-coboundaries.
  • Küçük Resim
    Yayın
    Best proximity point theorems in non-Archimedean Menger probabilistic spaces
    (University of Kragujevac, Faculty of Science, 2024) Karaaslan, Arife Aysun; Karakaya, Vatan
    In this work, we prove best proximity point theorems for γ-contractions with conditions the weak P-property in non-Archimedean Menger probabilistic metric spaces. We give the notion of γ- proximal contractions of first and second type in non-Archimedean Menger probabilistic metric spaces and also we establish best proximity point theorems for these proximal contractions. Lastly, we complete our study by giving examples that support our results.