Araştırma Makalesi
Convergence to common fixed points of multi-step iteration process for generalized asymptotically quasi-nonexpansive mappings in convex metric spaces
Öz
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.
Anahtar Kelimeler
Generalized asymptotically quasi-nonexpansive mapping multi-step iterations with errors common fixed point strong convergence convex metric
Kaynakça
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Ayrıntılar
| Birincil Dil | İngilizce |
|---|---|
| Bölüm | Matematik |
| Yazarlar | |
| Yayımlanma Tarihi | 1 Nisan 2014 |
| Yayımlandığı Sayı | Yıl 2014 Cilt: 43 Sayı: 2 |