Abstract
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
Highlights
Let E be a real normed space and K be a nonempty subset of E
A mapping T : K → K is called nonexpansive if Tx – Ty ≤ x – y for all x, y ∈ K
A mapping T : K → K is called asymptotically nonexpansive if there exists a sequence {kn} ⊂ [, ∞) with kn → such that
Summary
Let E be a real normed space and K be a nonempty subset of E.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
