TY - JOUR
AU - Şoltuz, Ştefan M.
PY - 2005/08/01
Y2 - 2024/02/24
TI - On the boundedness of the associated sequence of Mann iteration for several operator classes with applications
JF - Rev. Anal. Numér. Théor. Approx.
JA - Rev. Anal. Numér. Théor. Approx.
VL - 34
IS - 2
SE - Articles
DO - 10.33993/jnaat342-808
UR - https://ictp.acad.ro/jnaat/journal/article/view/2005-vol34-no2-art10
SP - 227-232
AB - <pre>We prove that the associated sequence of Mann iteration is decreasing and hence bounded provided that the operator satisfies minimal assumptions. In particular we obtain for a nonexpansive operator that the associated sequence of Ishikawa iteration is decreasing for a nonexpansive operator. Applications to the convergence of Mann iteration are given.</pre>
ER -