alexa Hybrid algorithm for common solution of monotone inclusion problem and fixed point problem and applications to variational inequalities.


Journal of Applied & Computational Mathematics

Author(s): Zhang J, Jiang N

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Abstract The aim of this paper is to investigate hybrid algorithm for a common zero point of the sum of two monotone operators which is also a fixed point of a family of countable quasi-nonexpansive mappings. We point out two incorrect proof in paper (Hecai in Fixed Point Theory Appl 2013:11, 2013). Further, we modify and generalize the results of Hecai's paper, in which only a quasi-nonexpansive mapping was considered. In addition, two family of countable quasi-nonexpansive mappings with uniform closeness examples are provided to demonstrate our results. Finally, the results are applied to variational inequalities.
This article was published in Springerplus and referenced in Journal of Applied & Computational Mathematics

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