ASYMPTOTIC BEHAVIOR OF INFINITE PRODUCTS OF PROJECTION AND NONEXPANSIVE OPERATORS WITH COMPUTATIONAL ERRORS

EVGENIY  PUSTYLNIK; SIMEON  REICH; ALEXANDER J.  ZASLAVSKI

ASYMPTOTIC BEHAVIOR OF INFINITE PRODUCTS OF PROJECTION AND NONEXPANSIVE OPERATORS WITH COMPUTATIONAL ERRORS

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:

Hilbert space, Infinite product, Nonexpansive operator, Orthogonal projection

Abstract

We study the asymptotic behavior of infinite products of orthogonal projections and other (possibly nonlinear) nonexpansive operators in Hilbert space in the presence of computational errors.