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Issue: Vol. 9 No. 5 (2020): Natural Sciences Issue (English)
Section: Natural Sciences Issue (English)
DOI: 10.52714/dthu.9.5.2020.814
Date Published: 10/10/2020
Online Published: 10/10/2020
Views 331
Downloads 90
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Huynh, T. B. T., & Nguyen, T. H. (2020). Convergence of mann iteration process to a fixed point of (α,β) - nonexpansive mappings in Lp spaces. Dong Thap University Journal of Science, 9(5), 26-32. https://doi.org/10.52714/dthu.9.5.2020.814

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Convergence of mann iteration process to a fixed point of (α,β) - nonexpansive mappings in Lp spaces

Thi Be Trang Huynh1, Trung Hieu Nguyen2,
1 Student, Faculty of Mathematics Teacher Education, Dong Thap University, Vietnam
2 Faculty of Mathematics Teacher Education, Dong Thap University, Vietnam

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Abstract

In this paper, we prove the convergence of Mann iteration to fixed points of (α,β) -nonexpansive and strictly pseudo-contractive mappings in spaces. In addition, by using the obtained results, we state the convergence of Mann iteration to solutions of the nonlinear integral equations.

Keywords

(α,β)-nonexpansive mapping, fixed point, LP spaces, strictly pseudo-contractive mapping

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This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

References

Amini-Harandi, A., Fakhar, M., and Hajisharifi, H. R. (2018). Approximate fixed points of -nonexpansive mappings.
J. Math. Anal. Appl., 467(2), 1168-1173.
Aoyama, K. and Kohsaka, F. (2011). Fixed point theorem for -nonexpansive mappings in Banach spaces. Nonlinear Anal., 74, 4387-4391.
Chidume, C. E. (1987). Iterative approximation of fixed points of Lipschitzian strictly pseudo-contractive mappings. Proc. Amer. Soc, 99(2), 283-288.
Garcia-Falset, J., Llorens-Fuster, E., Suzuki, T. (2011). Fixed point theory for a class of generalized nonexpansive mappings. J. Math. Anal. Appl., 375(1), 185-195.
Suzuki, T. (2008). Fixed point theorems and convergence for some generalized nonexpansive mappings. J. Math. Anal. Appl., 340(2), 1088-1095.

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