Gunduz, Birol; Akbulut, Sezgin

In this paper, a new two-step iterative scheme for a finite family of Ii-asymptocally nonexpansive mappings {Ti}Ni=1 is constructed in a uniformly convex Banach space. Weak and strong convergence theorems of this iterative scheme to a common fixed point of {Ti}Ni=1and {Ii}Ni=1are proved in a uniformly convex Banach space.

Özkan, Engin; Altun, İpek; Göçer, Ali Aykut

We prove some theorems concerning a family of Fibonacci numbers defined in [11]. We give some relationship between the family of Fibonacci and Lucas numbers. Then we define a new family of k-Lucas numbers and prove some properties of it related to the Lucas numbers and the family of Lucas numbers.