for all x, y ∈ C. We denote by F(T) the set of fixed points of T . We know F(T) =∅ in the case that E is uniformly convex and C is bounded; see Browder [2], Göhde [9], and Kirk [13]. Common fixed point theorems for families of nonexpansive mappings are proved in [2, 4, 5], and other references. Many convergence theorems for nonexpansive mappings and families of nonexpansive mappings have been s...

Simpson and Yokoyama [Ann. Pure Appl. Logic 164 (2012), 284–293] asked whether there exists a characterization of the natural numbers by a second-order sentence which is provably categorical in the theory RCA0. We answer in the negative, showing that for any characterization of the natural numbers which is provably true in WKL0, the categoricity theorem implies Σ1 induction. On the other hand, ...

Hiroyuki Fujiwara ([email protected]) Akihiro Shimoda ([email protected]) Yoshiki Ishikawa ([email protected]) Akiyo Taneichi ([email protected]) Mai Ohashi ([email protected]) Yoshifumi Takahashi ([email protected]) Takahiro Koyanagi ([email protected]) Hiroyuki Morisawa ([email protected]) Suzuyo Takahashi ([email protected]) Naoto Sato (nao-...

Necessary and sufficient conditions for the convergence of Picard iteration to a fixed point for a continuous mapping in metric spaces are established. As application, we prove the convergence theorem of Ishikawa iteration to a fixed point for a nonexpansive mapping in Banach spaces. 2004 Elsevier Inc. All rights reserved.

The aim of this paper is to present some modifications of the biomorphs generation algorithm introduced by Pickover in 1986. A biomorph stands for biological morphologies. It is obtained by a modified Julia set generation algorithm. The biomorph algorithm can be used in the creation of diverse and complicated forms resembling invertebrate organisms. In this paper the modifications of the biomor...

Johannesburg water is responsible for the supply and monitoring of drinking water supplied to the greater Johannesburg area. Part of this monitoring programme involves the determination of Trihalomethane (THM) levels and the comparison thereof against the limits stipulated in SANS 241. This paper demonstrates the approach used to determine the uncertainty of the analytical method associated wit...

M. Ohno, T. Kawano, M. S. Tashiro, H. Ueno, D. Yonetoku, H. Sameshima, T. Takahashi, H. Seta, R. Mushotzky, K. Yamaoka, ASTRO-H SWG team and Fermi LAT/GBM collaborations Department of Physical Sciences, Hiroshima University, 1-3-1 Kagamiyama, Higashi-Hiroshima, Hiroshima 739-8526 Department of Physics, Saitama University, 255 Shimo-Okubo, Sakura-ku, Saitama-shi, Saitama 338-8570 Department of P...

Let q > 1 and E be a real q−uniformly smooth Banach space. Let K be a nonempty closed convex subset of E and T : K → K be a strictly pseudocontractive mapping in the sense of F. E. Browder and W. V. Petryshyn [1]. Let {un} be a bounded sequence in K and {αn}, {βn}, {γn} be real sequences in [0,1] satisfying some restrictions. Let {xn} be the bounded sequence in K generated from any given x1 ∈ K...

Institution(s): (Matsumoto, Sano, Ishikawa) Assistant Professor of Anesthesiology-Resuscitology. (Iida) Research fellow in Anesthesiology-Resuscitology. (Sakabe) Professor and Chairman of Anesthesiology-Resuscitology. (Nakakimura) Associate Professor of Anesthesiology-Resuscitology. Received from the Department of Anesthesiology-Resuscitology, Yamaguchi University, School of Medicine, Yamaguchi...

In this paper, by means of the concept of attractive points of a nonlinear mapping, we prove strong convergence theorem of the Ishikawa iteration for an (α, β)−generalized hybrid mapping in a uniformly convex Banach space, and obtain weak convergence theorem of the Ishikawa iteration for such a mapping in a Hilbert space.