Junji Watanabe, James A. Lin, Ajay J. Narasimha, Ani Shahbazian, Tomo-o Ishikawa, Martin G. Martin, Harvey R. Herschman, and Srinivasa T. Reddy Atherosclerosis Research Unit, Department of Medicine/Cardiology, Departments of Pediatrics, Molecular and Medical Pharmacology, and Biological Chemistry, and Jonsson Comprehensive Cancer Center, David Geffen School of Medicine, University of California...

Heterozygous deletion of Sarcolipin maintains normal cardiac function 1 2 Daisuke Shimura, Yoichiro Kusakari, Tetsuo Sasano, Yasuhiro Nakashima, Gaku Nakai, 3 Qibin Jiao, Meihua Jin, Tomohiro Yokota, Yoshihiro Ishikawa, Atsushi Nakano , 4 Nobuhito Goda, Susumu Minamisawa 2 5 6 Department of Life Science and Medical Bioscience, Waseda University, Tokyo, Japan 7 Department of Cell Physiology, The...

Recently, CQ method has been investigated extensively. However, it is mainly applied to modify Mann, Ishikawa and Halpern iterations to get strong convergence. In this paper, we study the properties of CQ method and proposed a framework. Based on that, we obtain a series of strong convergence theorems. Some of them are the extensions of previous results. On the other hand, CQ method, monotone Q...

In this paper, we prove a strong convergence theorem of modified Ishikawa iteration processes by the new hybrid iterative method introduced by Takahashi et al. (2008) for two relatively asymptotically nonexpansive mappings in Banach spaces under some appropriate conditions. Furthermore, our result improves and generalizes the corresponding results announced by many others. The project was suppo...

We introduce the Jungck-multistep iteration and show that it converges strongly to the unique common fixed point of a pair of weakly compatible generalized contractive-like operators defined on a Banach space. As corollaries, the results show that the Jungck-Mann, Jungck-Ishikawa and Jungck-Noor iterations can also be used to approximate the common fixed points of such maps. The results are imp...

Hisao Tajiri, Professor Mariko Itsubo, Professor Mikio Zeniya, Professor Toshifumi Okusa, Professor Ichiro Takagi, Professor Yoshio Aizawa, Professor Hirokazu Nishino, Professor Shigeo Koido, Associate Professor Tomohisa Ishikawa, Associate Professor Atsushi Hokari, Associate Professor Mika Matsuoka, Assistant Professor Kazuhiko Koike, Assistant Professor Satoshi Suto, Assistant Professor Yoshi...

We establish weak and strong convergence of Ishikawa type iterates of two pointwise asymptotic nonexpansive maps in a Hadamard space. For weak and strong convergence results, we drop “rate of convergence condition”, namely , to answer in the affirmative to the open question posed by Tan and Xu [1] even in a general setup.     1 1 n n c x      

Let C be a bounded, closed, convex subset of a uniformly convex Banach space X. We investigate the convergence of the generalized Krasnosel’skiiMann and Ishikawa iteration processes to common fixed points of pointwise Lipschitzian semigroups of nonlinear mappings Tt : C → C. Each of Tt is assumed to be pointwise Lipschitzian, that is, there exists a family of functions αt : C → [0,∞) such that ...

Let E be a real Banach Space and K a nonempty closed convex (not necessarily bounded) subset of E. Iterative methods for the approximation of fixed points of asymptotically demicontractive mappings T : K → K are constructed using the more general modified Mann and Ishikawa iteration methods with errors. Our results show that a recent result of Osilike [3] (which is itself a generalization of a ...

The Mann iterative scheme was invented in 1953, see [7], and was used to obtain convergence to a fixed point for many functions for which the Banach principle fails. For example, the first author in [8] showed that, for any continuous selfmap of a closed and bounded interval, the Mann iteration converges to a fixed point of the function. In 1974, Ishikawa [5] devised a new iteration scheme to e...