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Date Published:
10/10/2020
Online Published:
10/10/2020
Abstract Views: 37
Views PDF: 21
Views PDF: 21
Section
Natural Sciences Issue
How to Cite
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
Convergence of mann iteration process to a fixed point of (α,β) - nonexpansive mappings in Lp spaces
Main Article Content
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.
Article Details
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
Keywords
(α,β)-nonexpansive mapping, fixed point, LP spaces, strictly pseudo-contractive mapping
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.
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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