The Convergence of AA-Iterative Algorithm for Generalized AK-𝛼-Nonexpansive Mappings in Banach Spaces
Keywords:AK-𝛼-generalized nonexpansive mapping, Banach space, Convergence theorem, Fixed point, Hilbert space
In this paper, we are inspired by the collective ideas of the authors mentioned, making us interested in studying about the strong and weak convergence results by using the AA-iterative algorithm (1.14) for the generalized AK-𝛼-nonexpansive mappings (1.5) in uniformly convex Banach spaces . In particular, we provide only sufficient convergence criteria for a suitable procedural method. Our work is more general and unifies the comparable results in the existing literature, for instance, the results given in .
Beg, I.; Abbas, M.; Asghar, M.W.Convergence of AA-Iterative Algorithm for Generalized α-Nonexpansive Mappings with an Application. Mathematics 2022, 10, 4375. https://doi.org/10.3390/math10224375
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