Strong convergence theorems for two total asymptotically nonexpansive nonself mappings in Banach spaces

KIZILTUNÇ, Hükmi; Yolacan, Esra

doi:10.1186/1687-1812-2013-90

Strong convergence theorems for two total asymptotically nonexpansive nonself mappings in Banach spaces

KIZILTUNÇ H., Yolacan E.

FIXED POINT THEORY AND APPLICATIONS, 2013 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Basım Tarihi: 2013
Doi Numarası: 10.1186/1687-1812-2013-90
Dergi Adı: FIXED POINT THEORY AND APPLICATIONS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Atatürk Üniversitesi Adresli: Evet

Özet

In this paper, we define and study the convergence theorems of a new two-steps iterative scheme for two total asymptotically nonexpansive nonself-mappings in Banach spaces. The results of this paper can be viewed as an improvement and extension of the corresponding results of (Shahzad in Nonlinear Anal. 61: 1031-1039, 2005; Thianwan in Thai J. Math. 6: 27-38, 2008; Ozdemir et al. in Discrete Dyn. Nat. Soc. 2010: 307245, 2010) and all the others.