Çakmak, Ali; Karacan, Murat Kemal; Kiziltuğ, Sezai

In this study, we define the dual surfaces by z = f(u) + g(v) and also classify these surfaces in I(double-struck) 3 1 satisfying some algebraic equations in terms of the coordinate functions and the Laplace operators according to fundamental forms of the surface.

Gunduz, Birol

In this paper, we propose a new multistep iteration for a finite family of asymptotically quasi-nonexpansive mappings in convex cone metric spaces. Then we show that our iteration converges to a common fixed point of this class of mappings under suitable conditions. Our result generalizes the corresponding result of Lee [5] from the closed convex subset of a convex cone metric space to whole space.

Akbulut, Sezgin; Gunduz, Birol

In this article, we first give metric version of an iteration scheme of Agarwal et al. [1] and approximate fixed points of two finite families of nonexpansive mappings in hyperbolic spaces through this iteration scheme which is independent of but faster than Mann and Ishikawa scheme. Also we consider case of three finite families of nonexpansive mappings. But, we need an extra condition to get convergence. Our convergence theorems generalize and refine many know results in the current literature.