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Journal of Mathematical Analysis and Applications 1998, 226(1):245–250. Zeng L-C: A note on approximating fixed points of nonexpansive mappings by the Ishikawa iteration process. In this paper we generalize this notion, defining a set to be ebyev relative to another set if every point in the second set has a unique nearest neighbour in the first. Nonlinear Analysis: Theory, Methods & Applications 2001, 43(6):693–706. A set in a metric space is called a ebyev set if it has a unique nearest neighbour to each point of the space. Xu H-K: Multivalued nonexpansive mappings in Banach spaces. Journal of Mathematical Analysis and Applications 1993, 178(2):301–308. Tan K-K, Xu HK: Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process. Takahashi W, Kim G-E: Approximating fixed points of nonexpansive mappings in Banach spaces. Concerning hyperspaces of Peano continua, it was shown in a1 that these are in fact homeomorphic to the Hilbert cube.

Proceedings of the American Mathematical Society 1974, 44(2):375–380. The exponential topology is better known as the Vietoris topology and the exponent of a space is usually called its hyperspace, cf. Senter HF, Dotson WG Jr.: Approximating fixed points of nonexpansive mappings. Indian Journal of Pure and Applied Mathematics 1995, 26(10):953–957. S Stoilov, Les singularités des fonctions analytiques uniformes et les travaux de lacadémicien Dimitrie Pompeiu (Romanian), Acad. Rhoades BE: Some properties of Ishikawa iterates of nonexpansive mappings. Consequently, Pompeiu is also considered as one of the founders of the theory of hyperspaces. Bulletin of the Australian Mathematical Society 1989, 40(1):113–117. In this paper we investigate the structure of the hyperspaces of subcontinua of some. Maiti M, Ghosh MK: Approximating fixed points by Ishikawa iterates. Nadler Published 1 February 1979 Mathematics. Proceedings of the American Mathematical Society 1976, 59(1):65–71. Zapletal) Forcing with quotients, (Aceptado en Arch. Ishikawa S: Fixed points and iteration of a nonexpansive mapping in a Banach space. Art´culos de Investigaci´on Aceptados para su Publicaci´on: 1. 10.1006/jmaa.1996.0174Įmmanuele G: Convergence of the Mann-Ishikawa iterative process for nonexpansive mappings. Journal of Mathematical Analysis and Applications 1996, 199(3):769–775. Series B 1997, 18(4):423–428.ĭeng L: Convergence of the Ishikawa iteration process for nonexpansive mappings. Introduction to Hyperspaces Authors: Mark Burgin University of California, Los Angeles Abstract The development of mathematics brought mathematicians to infinite structures.

#Hyperspaces math Pc#

For both formats the functionality available will depend on how you access the ebook (via Bookshelf Online in your browser or via the Bookshelf app on your PC or mobile device).Hu T, Huang J: Iteration of fixed points on hyperspaces.

#Hyperspaces math pdf#

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Its use in science fiction originated in the.

Bookshelf Online Browser version support » Hyperspace (also nulspace, subspace, overspace, jumpspace and similar) is a concept from science fiction relating to higher dimensions as well as parallel universes and a faster-than-light (FTL) method of interstellar travel that also occasionally appears in scientific works in related contexts.

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