Research Article
Convergence to common fixed points of multi-step iteration process for generalized asymptotically quasi-nonexpansive mappings in convex metric spaces
Abstract
In this paper, we study strong convergence of multi-step iterations
with errors for a finite family of generalized asymptotically quasinonexpansive mappings in the framework of convex metric spaces. The
new iteration scheme includes modified Mann and Ishikawa iterations
with errors, the three-step iteration scheme of Xu and Noor as special
cases in Banach spaces. Our results extend and generalize many known
results from the current literature.
with errors for a finite family of generalized asymptotically quasinonexpansive mappings in the framework of convex metric spaces. The
new iteration scheme includes modified Mann and Ishikawa iterations
with errors, the three-step iteration scheme of Xu and Noor as special
cases in Banach spaces. Our results extend and generalize many known
results from the current literature.
Keywords
Generalized asymptotically quasi-nonexpansive mapping multi-step iterations with errors common fixed point strong convergence convex metric
References
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Details
| Primary Language | English |
|---|---|
| Journal Section | Mathematics |
| Authors | |
| Publication Date | April 1, 2014 |
| Published in Issue | Year 2014 Volume: 43 Issue: 2 |