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
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References
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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.
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