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Convergence of mann iteration process to a fixed point of (α,β) - nonexpansive mappings in Lp spaces
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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
Article Details
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
References
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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