Asymptotic regularity of the composition of rmly nonexpansive mappings
Victoria Mart · 2012
Because of Minty's classical correspondence between rmly non- expansive mappings and maximally monotone operators, the notion of rm nonexpansivity has proven to be of basic importance in xed point theory, monotone operator theory, and convex optimization. We show that if nitely many rmly nonexpansive mappings dened on a real Hilbert space are given and each of these mappings is asymptotically regular, which is equivalent to saying that they or \almost have xed points, then so ir their compo- sition. This signicantly