Convergence of AA-Iterative Algorithm for Generalized α -Nonexpansive Mappings with an Application

Ismat Beg, Mujahid Abbas and Muhammad Waseem Asghar
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Mujahid Abbas: Department of Mathematics, Government College University, Lahore 54000, Pakistan
Muhammad Waseem Asghar: Department of Mathematics, Government College University, Lahore 54000, Pakistan

Mathematics, 2022, vol. 10, issue 22, 1-16

Abstract: The aim of this paper is to approximate the fixed points of generalized α -nonexpansive mappings using A A -iterative algorithm. We establish some weak and strong convergence results for generalized α -nonexpansive mappings in uniformly convex Banach spaces. A numerical example is also given to show that the A A -iterative algorithm converges faster than some others algorithms for generalized α -nonexpansive mappings. Lastly, using the A A -iterative algorithm, we approximate the weak solution of delay composite functional differential equation of the Volterra–Stieltjes type.

Keywords: AA -iteration; generalized ?-nonexpansive mapping; fixed point; Banach space (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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