Approximation of fixed point of accretive operators based on a Halpern-Type iterative method


Dogan, Kadri and Karakaya, Vatan


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DOI: https://doi.org/10.37193/CMI.2017.03.03

In this study, we introduce a new iterative processes to approximate common fixed points of an infinite family of quasi-nonexpansive mappings and obtain a strongly convergent iterative sequence to the common fixed points of these mappings in a uniformly convex Banach space. Also we prove that this process to approximate zeros of an infinite family of accretive operators and we obtain a strong convergence result for these operators. Our results improve and generalize many known results in the current literature.

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Dogan, Kadri, Karakaya, Vatan