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Convergence of AA-Iterative Algorithm for Generalized α-Nonexpansive Mappings with an Application
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The aim of this paper is to approximate the fixed points of generalized α-nonexpansive mappings using AA-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 AA-iterative algorithm converges faster than some others algorithms for generalized α-nonexpansive mappings. Lastly, using the AA-iterative algorithm, we approximate the weak solution of delay composite functional differential equation of the Volterra–Stieltjes type.
Title: Convergence of AA-Iterative Algorithm for Generalized α-Nonexpansive Mappings with an Application
Description:
The aim of this paper is to approximate the fixed points of generalized α-nonexpansive mappings using AA-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 AA-iterative algorithm converges faster than some others algorithms for generalized α-nonexpansive mappings.
Lastly, using the AA-iterative algorithm, we approximate the weak solution of delay composite functional differential equation of the Volterra–Stieltjes type.
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