Strong Convergence of an explicit iteration method in uniformly convex Banach spaces

Ahmed A. ABDELHAKİM; R. A. RASHWAN

Makale detayları

Strong Convergence of an explicit iteration method in uniformly convex Banach spaces

Yazarlar:

Ahmed A. ABDELHAKİM | R. A. RASHWAN

Yayıncı:

Mehmet Zeki SARIKAYA

Ana Başlıklar:

Uygulamalı fizik

Dergi:

Konuralp Journal of Mathematics 2018 Vol.6 Issue 1, pp.178-187

Belge Tipi:

Makale

Yayın Tarihi:

4/2018

Belge Dili:

İngilizce

Document ID (Org No.):

2000536218

Sıklık:

İki Yıllık

eISSN:

2147-625X

Özet:

 


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.]

.

Makale detayları

Strong Convergence of an explicit iteration method in uniformly convex Banach spaces

Yazarlar: Ahmed A. ABDELHAKİM | R. A. RASHWAN

Yayıncı: Mehmet Zeki SARIKAYA

Ana Başlıklar: Uygulamalı fizik

Dergi: Konuralp Journal of Mathematics 2018 Vol.6 Issue 1, pp.178-187

Belge Tipi: Makale

Yayın Tarihi: 4/2018

Belge Dili: İngilizce

Document ID (Org No.): 2000536218

Sıklık: İki Yıllık

eISSN: 2147-625X

Sayı

Yazarlar:

Ahmed A. ABDELHAKİM | R. A. RASHWAN

Yayıncı:

Mehmet Zeki SARIKAYA

Ana Başlıklar:

Uygulamalı fizik

Dergi:

Konuralp Journal of Mathematics 2018 Vol.6 Issue 1, pp.178-187

Belge Tipi:

Makale

Yayın Tarihi:

4/2018

Belge Dili:

İngilizce

Document ID (Org No.):

2000536218

Sıklık:

İki Yıllık

eISSN:

2147-625X