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

Document Type : Research Paper


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


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.


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Volume 13, Issue 2
July 2022
Pages 2503-2508
  • Receive Date: 04 December 2020
  • Accept Date: 12 June 2021