Abstract
In this paper, I introduce an implicit iterative process with mixed errors for two finite family of total asymptotically nonexpansive mappings in a uniformly convex Banach space and prove strong convergence theorems under some conditions. My results improved and extended many know results existing in the literature.
Highlights
Let E is a normed space and K be a nonempty subset of E
The purpose of this paper is to study the strong convergence of implicit iterative process with mixed errors for two finite family of total asymptotically nonexpansive mappings in Banach spaces
My results are available in the Mann-type iterative algorithm for the class of total asimptotically nonexpansive mappings
Summary
Let E is a normed space and K be a nonempty subset of E. In Hao (2010) established weak and strong convergence theorems of the implicit iteration process for a finite family of uniformly Lipschitz total asymptotically nonexpansive mappings in a real Hilbert space. Studied weak and strong convergence theorems for common fixed points of two finite family of asymptotically nonexpansive mappings in a uniformly convex Banach space. Inspired and motivated by this facts, I introduce an implicit iterative process with mixed errors for two finite family of total asymptotically nonexpansive mappings in a uniformly convex Banach space. The purpose of this paper is to study the strong convergence of implicit iterative process with mixed errors for two finite family of total asymptotically nonexpansive mappings in Banach spaces.
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