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The approximation of fixed points of compositions of nonexpansive mappings in Hilbert space

Bauschke, Heinz H. (1994) The approximation of fixed points of compositions of nonexpansive mappings in Hilbert space. [Preprint]

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      Abstract

      Determining fixed points of nonexpansive mappings is a frequent problem in mathematics and physical sciences. An algorithm for finding common fixed points of nonexpansive mappings in Hilbert space, essentially due to Halpern, is analyzed. The main theorem extends Wittmann's recent work and partially generalizes a result by Lions. Algorithms of this kind have been applied to the convex feasibility problem.

      Item Type: Preprint
      Additional Information: pubdom FALSE
      Uncontrolled Keywords: best approximation, convex feasibility problem, fixed point, nonexpansive mapping, projection
      Subjects: 92-xx Biology and other natural sciences, behavioral sciences > 92Cxx Physiological, cellular and medical topics
      90-xx Economics, operations research, programming, games > 90Cxx Mathematical programming
      65-xx Numerical analysis > 65Jxx Numerical analysis in abstract spaces
      47-xx Operator theory > 47Hxx Nonlinear operators and their properties
      47-xx Operator theory > 47Nxx Miscellaneous applications of operator theory
      65-xx Numerical analysis > 65Kxx Mathematical programming, optimization and variational techniques
      65-xx Numerical analysis > 65Fxx Numerical linear algebra
      46-xx Functional analysis > 46Cxx Inner product spaces and their generalizations, Hilbert spaces
      Faculty: UNSPECIFIED
      Depositing User: Users 1 not found.
      Date Deposited: 16 Nov 2003
      Last Modified: 21 Apr 2010 11:13
      URI: https://docserver.carma.newcastle.edu.au/id/eprint/89

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