New explicit counterexamples demonstrate that Cesàro means of firmly nonexpansive iterates fail to converge strongly, remaining bounded away or oscillating in norm, in infinite-dimensional Hilbert spaces.
Bauschke: Fenchel duality, Fitzpatrick functions and the extension of firmly non- expansive mappings,Proceedings of the American Mathematical Society135 (2007), 135–139
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.OC 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Ces\`aro means of firmly nonexpansive iterates need not converge strongly
New explicit counterexamples demonstrate that Cesàro means of firmly nonexpansive iterates fail to converge strongly, remaining bounded away or oscillating in norm, in infinite-dimensional Hilbert spaces.