Browsing Öksüz Yayınlar Koleksiyonu - Scopus by Author "Yakut, Atakan T."

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Generalized contraction mapping principle in intuitionistic Menger spaces and application to differential equations

Kutukcu, Servet; Tuna, Adnan; Yakut, Atakan T. (SHANGHAI UNIV, 2007)

Using the idea of Atanassov, we define the notion of intuitionistic Menger spaces as a netural generalizations of Menger spaces due to Menger. We also obtain a new generalized contraction mapping and utilize this contraction ...
On the Schlafli differential formula based on edge lengths of tetrahedron in H-3 and S-3

Yakut, Atakan T.; Savas, Murat; Kader, Serkan (SPRINGER, 2009)

We obtain a new version of Schlafli differential formula based on edge lengths for the volume of a tetrahedron in hyperbolic and spherical 3-spaces, by using the edge matrix of a hyperbolic( or spherical) tetrahedron and ...
Orthogonal Projections Based on Hyperbolic and Spherical n-Simplex

Savas, Murat; Karliga, Baki; Yakut, Atakan T. (HINDAWI PUBLISHING CORP, 2015)

Orthogonal projection along a geodesic to the chosen k-plane is introduced using edge and Gram matrix of an n-simplex in hyperbolic or spherical n-space. The distance from a point to k-plane is obtained by the orthogonal ...