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

Hükmi Kiziltunç, Esra Yolaçan · Fixed Point Theory and Applications · 2013

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. MSC: 47H09, 47H10, 46B20.

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