4.5 Article

A new proximal point iteration that converges weakly but not in norm

Journal

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
Volume 133, Issue 6, Pages 1829-1835

Publisher

AMER MATHEMATICAL SOC
DOI: 10.1090/S0002-9939-05-07719-1

Keywords

proximal point algorithm; weak convergence; support point

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In 1991, Guler constructed a proximal point iteration that converges weakly but not in norm. By building on a recent result of Hundal, we present a new, considerably simpler, example of this type.

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