TY  - JOUR
ID  - Saluja2012
LB  - Saluja2012
AU  - Saluja, Gurucharan Singh
TI  - Implicit random iteration process with errors for asymptotically quasi-nonexpansive in the intermediate sense random operators
ST  - Implicit random iteration process with errors for asymptotically quasi-nonexpansive in the intermediate sense random operators
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2012
VL  - 32
IS  - 2
SP  - 327
EP  - 340
DO  - http://dx.doi.org/10.7494/OpMath.2012.32.2.327
UR  - http://dx.doi.org/10.7494/OpMath.2012.32.2.327
AB  - In this paper, we give a necessary and sufficient condition for the strong convergence of an implicit random iteration process with errors to a common fixed point for a finite family of asymptotically quasi-nonexpansive in the intermediate sense random operators and also prove some strong convergence theorems using condition (\(\overline{C}\)) and the semi-compact condition for said iteration scheme and operators. The results presented in this paper extend and improve the recent ones obtained by S. Plubtieng, P. Kumam and R. Wangkeeree, and also by the author.
KW  - asymptotically quasi-nonexpansive in the intermediate sense random operator
KW  - implicit random iteration process with errors
KW  - common random fixed point
KW  - strong convergence
KW  - separable uniformly convex Banach space
SN  - 1232-9274
ER  -