NEW POSSIBILITIES REGARDING THE ALTERNATING PROJECTIONS METHOD

Authors

  • EVGENIY PUSTYLNIK Department of Mathematics, The Technion-Israel Institute of Technology, 32000 Haifa, Israel
  • SIMEON REICH Department of Mathematics, The Technion-Israel Institute of Technology, 32000 Haifa, Israel
  • ALEXANDER J. ZASLAVSKI Department of Mathematics, The Technion-Israel Institute of Technology, 32000 Haifa, Israel

Keywords:

Alternating projection, Angle, Infinite product, Nonexpansive operator

Abstract

We provide a short survey of some recent results of ours regarding the convergence of infinite products of nonexpansive operators, some of which are orthogonal projections, while others may even be nonlinear. It turns out that the standard requirement of cyclic order of the projections may be replaced with the positivity of the angles between the given subspaces. Moreover, one of these angles may even be unknown, provided the corresponding projection appears in the infinite product sufficiently rarely.

Additional Files

Published

12/21/2011

Issue

Vol. 2 No. 1 (2011): JNAO

Section

Research Articles

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Copyright (c) 2024 Journal of Nonlinear Analysis and Optimization: Theory & Applications (JNAO)

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Copyright (c) 2010 Journal of Nonlinear Analysis and Optimization: Theory & Applications

Creative Commons License

This work is licensed under aย Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.