Convergence of general algorithm for I-generalized asymptotically nonexpansive nonself-mappings in uniformly convex hyperbolic spaces
Liping Yang · Journal of Inequalities and Applications · 2015
In this paper, a new iterative scheme for a finite family of $I_{i}$ -generalized asymptotically nonexpansive nonself-mappings $\{T_{i}\} _{i=1}^{r}$ is constructed in a uniformly convex hyperbolic space. We establish strong convergence theorems of this iterative scheme to a common fixed point of $\{T_{i}\}_{i=1}^{r}$ and $\{ I_{i}\}_{i=1}^{r}$ under certain conditions. Our results of this paper extend some results in the literature.