TWO CONVERGENCE RESULTS FOR INEXACT ITERATES OF CYCLIC NONEXPANSIVE MAPPINGS
Abstract
In our work with Dan Butnariu and S. Reich (2006) it was
shown that if any exact orbit of a nonexpansive mapping converges to
its xed point, then this convergence property also holds for its inexact
orbits with summable errors. In the present paper we obtain an analog
of this result for inexact iterates of cyclic nonexpansive mappings.
shown that if any exact orbit of a nonexpansive mapping converges to
its xed point, then this convergence property also holds for its inexact
orbits with summable errors. In the present paper we obtain an analog
of this result for inexact iterates of cyclic nonexpansive mappings.
DOI: http://dx.doi.org/10.14510%2Flm-ns.v0i0.1480