Altunbaş, Murat

Let (M, g) be a Riemannian manifold and T M be its tangent bundle. The purpose of this paper is to study statistical structures on T M with respect to the metrics Gf1=c g +v (fg) and Gf2=s gf +h g, where f is a smooth function on M,c g is the complete lift of g,v (fg) is the vertical lift of fg,s gf is a metric obtained by rescaling the Sasaki metric by a smooth function f andh g is the horizontal lift of g. Moreover, we give some results about Killing vector fields on T M with respect to these metrics.

Durmaz, Muhammet Enes; Cakir, Musa; Amirali, Gabil

The work handles a Fredholm integro-differential equation involv-ing boundary layers. A fitted second-order difference scheme has been created on a uniform mesh utilizing interpolating quadrature rules and exponential basis functions. The stability and convergence of the proposed discretization technique are analyzed and one example is solved to display the advantages of the presented technique.

Erisir, Tulay; Güngör, Mehmet Ali; Ersoy, Soley

In this study, we consider the generalized complex number system C-p = {x + iy : x, y is an element of R; i(2) = p is an element of R} corresponding to elliptical complex number, parabolic complex number and hyperbolic complex number systems for the special cases of p < 0, p = 0, p > 0, respectively. This system is used to derive Bobillier Formula in the generalized complex plane. In accordance with this purpose we obtain this formula by two different methods for one-parameter planar motion in C-p; the first method depends on using the geometrical interpretation of the generalized Euler-Savary formula and the second one uses the usual relations of the velocities and accelerations.

Çakmak, Ali; Kiziltug, Sezai

In this paper, new representations of a Bertrand curve pair in three dimensional Lie groups with bi-invariant metric are given. Besides, the spherical indicatrices of a Bertrand curve pair are obtained and the relations between the spherical indicatrices and new representations of Bertrand curve pair are shown.

Gunduz, Birol

The aim of this work is to establish convergence theorem of a new iteration process for a finite family of I-asymptotically quasi-nonexpansive mappings and a finite family of asymptotically quasi-nonexpansive mappings in generalized convex cone metric spaces. Our result is valid in the whole space, whereas the results given in [4, 5] are valid in a nonempty convex subset of a convex cone metric space. Our convergence results generalize and refine not only result of Gunduz [6] but also results of Lee [4, 5] and Temir [9].

Özdin, Tufan

Let Gamma be a graph, K be any field and S be the endomorphism ring of L := L-K (Gamma) considered as a right L-module. In this paper, we give defination of the left locally unit regular ring. We show that (1) if S is locally unit regular, then L is locally unit regular, (2) if L is morphic and image projective then S is left morphic, (3) S is a directly finite ring then L is directly finite, (4) if S is an exchange ring then L is directly finite and if L is a directly finite ring then L is an exchange ring.