Strong convergence for $\alpha$-nonexpansive mapping using a partial order induced by a function

نویسندگان

1 School of Advanced Sciences and Languages, VIT Bhopal University, India

doi
10.22075/ijnaa.2021.22013.2314
چکیده

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.