The purpose of this paper is to study and give the necessary and sufficient condition of strong convergence of the multi-step iterative algorithm with errors for a finite family of generalized asymptotically quasi-nonexpansive mappings to converge to common fixed points in Banach spaces. Our results extend and improve some recent results in the literature (see, e.g. [2, 3, 5, 6, 7, 8, 11, 14, 19]).
Saluja, G. (2011). Convergence theorems of multi-step iterative algorithm with errors for generalized asymptotically quasi-nonexpansive mappings in Banach spaces. International Journal of Nonlinear Analysis and Applications, 2(1), 85–96. https://doi.org/10.22075/ijnaa.2011.108
MLA
Saluja, G. "Convergence theorems of multi-step iterative algorithm with errors for generalized asymptotically quasi-nonexpansive mappings in Banach spaces", International Journal of Nonlinear Analysis and Applications, 2, 1, 2011, 85–96. doi: 10.22075/ijnaa.2011.108
HARVARD
Saluja, G. (2011). 'Convergence theorems of multi-step iterative algorithm with errors for generalized asymptotically quasi-nonexpansive mappings in Banach spaces', International Journal of Nonlinear Analysis and Applications, 2(1), pp. 85–96. doi: 10.22075/ijnaa.2011.108
CHICAGO
Saluja, G., "Convergence theorems of multi-step iterative algorithm with errors for generalized asymptotically quasi-nonexpansive mappings in Banach spaces." International Journal of Nonlinear Analysis and Applications, 2 1 (2011): 85–96, doi: 10.22075/ijnaa.2011.108
VANCOUVER
Saluja G. Convergence theorems of multi-step iterative algorithm with errors for generalized asymptotically quasi-nonexpansive mappings in Banach spaces. IJNAA. 2011;2(1):85–96. doi: 10.22075/ijnaa.2011.108
International Journal of Nonlinear Analysis and Applications