The generation of fractals and study of the dynamics of polynomials is one of the emerging and interesting field of research nowadays. We introduce in this paper the dynamics of polynomials z n z + c = 0 for n 2 and applied Jungck Ishikawa Iteration to generate new Relative Superior Mandelbrot sets and Relative Superior Julia sets. In order to solve this function by Jungck –type iterative sche...

In this paper, we show that the modified Mann iteration with errors converges strongly to fixed point for uniformly L-Lipschitzian asymptotically Φ-pseudocontractive mappings in real Banach spaces. Meanwhile, it is proved that the convergence of Mann and Ishikawa iterations is equivalent for uniformly L-Lipschitzian asymptotically Φpseudocontractive mappings in real Banach spaces. Finally, we o...

Y. Aoki, T. Blum, N. H. Christ, C. Dawson, T. Izubuchi, R. D. Mawhinney, J. Noaki, S. Ohta, K. Orginos, A. Soni and N. Yamada 1Physics Department, University of Wuppertal, Gaussstr. 20, 42119, Wuppertal, Germany 2RIKEN BNL Research Center, Brookhaven National Laboratory, Upton, NY 11973, USA 3Physics Department, University of Connecticut, Storrs, CT 06269-3046, USA 4Physics Department, Columbia...

S. Aoki, M. Fukugita, S. Hashimoto, K.-I. Ishikawa, N. Ishizuka, Y. Iwasaki, K. Kanaya, 1,4 T. Kaneko, Y. Kuramashi, M. Okawa, T. Onogi, S. Tominaga, N. Tsutsui, A. Ukawa, N. Yamada, and T. Yoshie Institute of Physics, University of Tsukuba, Tsukuba 305-8571, Japan Institute for Cosmic Ray Research, University of Tokyo, Kashiwa 277-8582, Japan High Energy Accelerator Research Organization (KEK)...

We propose a spatially continuous formulation of Ishikawa’s discrete multi-label problem. We show that the resulting non-convex variational problem can be reformulated as a convex variational problem via embedding in a higher dimensional space. This variational problem can be interpreted as a minimal surface problem in an anisotropic Riemannian space. In several stereo experiments we show that ...

Kenichi L. Ishikawa,* Eiji J. Takahashi, and Katsumi Midorikawa Integrated Simulation of Living Matter Group, RIKEN Computational Science Research Program, 2-1 Hirosawa, Wako, Saitama 351-0198, Japan Precursory Research for Embryonic Science and Technology (PRESTO), Japan Science and Technology Agency, Honcho 4-1-8, Kawaguchi-shi, Saitama 332-0012, Japan Extreme Photonics Research Group, RIKEN ...

T. Umeda, S. Aoki, M. Fukugita, K.-I. Ishikawa, N. Ishizuka, 2 Y. Iwasaki, 2 K. Kanaya, Y. Kuramashi, V.I. Lesk, Y. Namekawa, M. Okawa, Y. Taniguchi, A. Ukawa, 2 and T. Yoshié 2 (CP-PACS Collaboration) Center for Computational Physics, University of Tsukuba, Tsukuba, Ibaraki 305-8577, Japan Institute of Physics, University of Tsukuba, Tsukuba, Ibaraki 305-8571, Japan Institute for Cosmic Ray Re...

Yasushi Horimasu ([email protected]) Noboru Hattori ([email protected]) Nobuhisa Ishikawa ([email protected]) Sonosuke Tanaka ([email protected]) Francesco Bonella ([email protected]) Shinichiro Ohshimo ([email protected]) Josune Guzman ([email protected]) Ulrich Costabel ([email protected]...

In this paper, we prove the existence of a random common fixed point of two continuous contractive random operators on a separable Banach space. We introduce the random modified Ishikawa iteration scheme and use our existence result to study weak and strong convergence of this scheme to a unique random common fixed point of two random asymptotically quasi-nonexpansive operator. Our work extends...

In this paper, we study strong convergence as well as stability results for a pair of nonself mappings using Jungck-SP iterative scheme and a certain contractive condition. Moreover, with the help of computer programs in C++, we show that Jungck-SP iterative scheme converges faster than Jungck-Noor, Jungck-Ishikawa and Jungck-Mann iterative schemes through example. General Terms Computational M...