activity
20092019
most citedConsimilarity of Split Quaternion Matrices and a Solution of the Split Quaternion Matrix Equation X-AX_B=C

13 citations · 29 across the 5 of their papers we have counts for

collaborators

6 papers

math.GM2019

Fixed point results for a new metric space

Murat Kirişci, Necip Şimşek, Mahmut Akyiğit

In this paper, we introduce the neutrosophic contractive and neutrosophic mapping. We establish some results on fixed points of a neutrosophic mapping.

math.AC2014★ 13 cited

Consimilarity of Split Quaternion Matrices and a Solution of the Split Quaternion Matrix Equation X-AX_B=C

Hidayet Huda Kosal, Mahmut Akyigit, Murat Tosun

In this paper, the consimilarity of complex matrices is generalized for the split quaternions. In this regard, coneigenvalue and coneigenvector are defined for split quaternion mat…

math.DG2011★ 1 cited

Generalized Timelike Mannheim Curves in Minkowski space-time

M. Akyiǧit, S. Ersoy, i. öZgüR +1

We give a definition of generalized timelike Mannheim curve in Minkowski space-time . The necessary and sufficient conditions for the generalized timelike Mannheim curve obt…

math.DG2010★ 5 cited

Involute-Evolute Curves in Galilean Space G_3

A. Z. Azak, M. Akyigit, S. Ersoy

Abstract In this paper, definition of involute-evolute curve couple in Galilean space is given and some well-known theorems for the involute-evolute curves are obtained in 3-dimens…

math.DG2010★ 1 cited

Admissible Mannheim Curves in Pseudo-Galilean Space

M. Akyigit, A. Z. Azak, M. Tosun

In this paper, first and second type admissible Mannheim partner curves are defined in pseudo-Galilean space . Moreover, it is proved that the distance between the reciproca…

math.DG2009★ 9 cited

One-Parameter Homothetic Motion in the Hyperbolic Plane and Euler-Savary Formula

Soley Ersoy, Mahmut Akyigit

In \cite{Mul} one-parameter planar motion was first introduced and the relations between absolute, relative, sliding velocities (and accelerations) in the Euclidean plane $\mathbb{…