We obtain the necessary and sufficient conditions for the convergence of an explicit iterative procedure to a common fixed point of a finite family of non-self asymptotically quasi-nonexpansive type mappings in real Banach spaces. We also prove the strong convergence of this iterative method to a common fixed point of a finite family of non-self asymptotically quasi-nonexpansive in the intermediate sense mappings in uniformly convex Banach spaces. Our results mainly generalize and extend those obtained by Wang [L. Wang, Explicit iteration method for common fixed points of a finite family of nonself asymptotically nonexpansive mappings, Computers \& Mathematics with applications, 53, (2007), 1012 - 1019.]
common fixed point iterative approximation asymptotically quasi-nonexpansive in the intermediate sense uniformly convex Banach spaces
Birincil Dil | İngilizce |
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Konular | Mühendislik |
Bölüm | Articles |
Yazarlar | |
Yayımlanma Tarihi | 15 Nisan 2018 |
Gönderilme Tarihi | 7 Kasım 2017 |
Yayımlandığı Sayı | Yıl 2018 Cilt: 6 Sayı: 1 |