STRONG CONVERGENCE OF AN EXPLICIT ITERATION PROCESS FOR A FINITE FAMILY OF ASYMPTOTICALLY QUASI-NONEXPANSIVE MAPPINGS IN CONVEX METRIC SPACES

Gunduz, Birol; AKBULUT, Sezgin

doi:10.18514/mmn.2013.641

STRONG CONVERGENCE OF AN EXPLICIT ITERATION PROCESS FOR A FINITE FAMILY OF ASYMPTOTICALLY QUASI-NONEXPANSIVE MAPPINGS IN CONVEX METRIC SPACES

Gunduz B., AKBULUT S.

MISKOLC MATHEMATICAL NOTES, cilt.14, sa.3, ss.905-913, 2013 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 14 Sayı: 3
Basım Tarihi: 2013
Doi Numarası: 10.18514/mmn.2013.641
Dergi Adı: MISKOLC MATHEMATICAL NOTES
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.905-913
Anahtar Kelimeler: iteration process, convex metric spaces, asymptotically quasi-nonexpansive mappings, common fixed point, strong convergence, FIXED-POINTS, BANACH-SPACES, SCHEME, WEAK
Atatürk Üniversitesi Adresli: Evet

Özet

In this paper, we study strong convergence of an iteration process for a finite family of asymptotically quasi-nonexpansive mappings in convex metric spaces. We prove some strong convergence theorems for this iterative algorithm. Our results improve and extend the corresponding results of Kettapun et al. [2].