Abstract
Abstract In this paper, we introduce a new two-step iterative scheme of mixed type for two asymptotically nonexpansive self-mappings and two asymptotically nonexpansive nonself-mappings and prove strong and weak convergence theorems for the new two-step iterative scheme in uniformly convex Banach spaces.
Highlights
Let K be a nonempty subset of a real normed linear space E
A mapping T : K → K is said to be asymptotically nonexpansive if there exists a sequence {kn} ⊂ [, ∞) with limn→∞ kn = such that
In, Goebel and Kirk [ ] introduced the class of asymptotically nonexpansive self-mappings, which is an important generalization of the class of nonexpansive selfmappings, and proved that if K is a nonempty closed convex subset of a real uniformly convex Banach space E and T is an asymptotically nonexpansive self-mapping of K, T has a fixed point
Summary
Let K be a nonempty subset of a real normed linear space E. A mapping T : K → K is said to be asymptotically nonexpansive if there exists a sequence {kn} ⊂ [ , ∞) with limn→∞ kn = such that
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
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
