%0 Journal Article
%T Strong convergence for $\alpha$-nonexpansive mapping using a partial order induced by a function
%J International Journal of Nonlinear Analysis and Applications
%I Semnan University
%Z 2008-6822
%A Jain, Reena
%D 2022
%\ 07/01/2022
%V 13
%N 2
%P 2503-2508
%! Strong convergence for $\alpha$-nonexpansive mapping using a partial order induced by a function
%K $alpha$-nonexpansive mapping
%K strong convergence
%K Partial order
%K Fixed point
%R 10.22075/ijnaa.2021.22013.2314
%X In this work, we introduce a partial ordering on a Banach space induced by a real valued function and prove some convergence theorems for $\alpha$-nonexpansive mapping in a ordered Banach space to a fixed point of mapping using this partial ordering. Moreover we give example to furnish the definition of the partial ordering induced by a real valued function.
%U https://ijnaa.semnan.ac.ir/article_6436_cd8784c9526fc03b39cae4a29629a086.pdf