creative_2017_26_2_163_180In this paper, we introduce the notion of a monotone 
-nonexpansive mapping in an ordered Banach space 
with the partial order 
and prove some existence theorems of fixed points of a monotone -nonexpansive mapping in a uniformly convex ordered Banach space. Also, we prove some weak and strong convergence theorems of Ishikawa type iteration under the control condition
![\[\limsup_{n\to\infty}s_n(1-s_n) > 0\quad and \quad \liminf_{n\to\infty}s_n(1-s_n) > 0.\]](https://www.creative-mathematics.cunbm.utcluj.ro/wp-content/ql-cache/quicklatex.com-d55e1482f932f36e71691fbbce59c0e5_l3.png "Rendered by QuickLaTeX.com")
Finally, we give an numerical example to illustrate the main result in this paper.
| Author(s) | Cho, Yeol Je, Kumam, Poom, Muangchoo-in, Khanitin, Thongtha, Dawud |
|---|
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