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math.FA2013★ 4 cited
Asymptotic behavior of compositions of under-relaxed nonexpansive operators
J. -B. Baillon, P. L. Combettes, R. Cominetti
In general there exists no relationship between the fixed point sets of the composition and of the average of a family of nonexpansive operators in Hilbert spaces. In this paper, w…
math.FA2011
There is no variational characterization of the cycles in the method of periodic projections
J. -B. Baillon, P. L. Combettes, R. Cominetti
The method of periodic projections consists in iterating projections onto closed convex subsets of a Hilbert space according to a periodic sweeping strategy. In the presence of…