In this paper we introduce new modified implicit and explicit algorithms and prove strong convergence of the two algorithms to a common fixed point of a family of uniformly asymptotically regular asymptotically nonexpansive mappings in a real reflexive Banach space with a uniformly G$\hat{a}$teaux differentiable norm. Our result is applicable in $L_{p}(\ell_{p})$ spaces, $1 < p <\infty$ and consequently in sobolev spaces.
Ugwunnadi, G. Chidi. (2016). Strong convergence of modified iterative algorithm for family of asymptotically nonexpansive mappings. International Journal of Nonlinear Analysis and Applications, 7(2), 93–108. https://doi.org/10.22075/ijnaa.2016.479
MLA
Ugwunnadi, G. Chidi. "Strong convergence of modified iterative algorithm for family of asymptotically nonexpansive mappings", International Journal of Nonlinear Analysis and Applications, 7, 2, 2016, 93–108. doi: 10.22075/ijnaa.2016.479
HARVARD
Ugwunnadi, G. Chidi. (2016). 'Strong convergence of modified iterative algorithm for family of asymptotically nonexpansive mappings', International Journal of Nonlinear Analysis and Applications, 7(2), pp. 93–108. doi: 10.22075/ijnaa.2016.479
CHICAGO
Ugwunnadi, G. Chidi, "Strong convergence of modified iterative algorithm for family of asymptotically nonexpansive mappings." International Journal of Nonlinear Analysis and Applications, 7 2 (2016): 93–108, doi: 10.22075/ijnaa.2016.479
VANCOUVER
Ugwunnadi G. Chidi. Strong convergence of modified iterative algorithm for family of asymptotically nonexpansive mappings. IJNAA. 2016;7(2):93–108. doi: 10.22075/ijnaa.2016.479
International Journal of Nonlinear Analysis and Applications