The Convergence of AA-Iterative Algorithm for Generalized AK-𝛼-Nonexpansive Mappings in Banach Spaces

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ชลธิศ เสือนุ่ม
Anteneh Getachew Gebrie
Thanatporn Grace

บทคัดย่อ

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 [1].

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How to Cite
เสือนุ่ม ช., Gebrie, A. G. ., & Grace, T. . (2023). The Convergence of AA-Iterative Algorithm for Generalized AK-𝛼-Nonexpansive Mappings in Banach Spaces. Science & Technology Asia, 28(3), 82–90. สืบค้น จาก https://ph02.tci-thaijo.org/index.php/SciTechAsia/article/view/248796
บท
Physical sciences

References

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