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Parallel and sequential hybrid methods for a finite family of asymptotically quasi \(\phi \)-nonexpansive mappings

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Abstract

In this paper we study some novel parallel and sequential hybrid methods for finding a common fixed point of a finite family of asymptotically quasi \(\phi \)-nonexpansive mappings. The results presented here modify and extend some previous results obtained by several authors.

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Acknowledgments

The authors are greateful to the referees for their useful comments to improve this article. We thank V. T. Dzung for performing computation on the LINUX cluster 1350. The research of the first author was partially supported by Vietnam Institute for Advanced Study in Mathematics (VIASM) and Vietnam National Foundation for Science and Technology Development (NAFOSTED).

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Correspondence to Pham Ky Anh.

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Anh, P.K., Van Hieu, D. Parallel and sequential hybrid methods for a finite family of asymptotically quasi \(\phi \)-nonexpansive mappings. J. Appl. Math. Comput. 48, 241–263 (2015). https://doi.org/10.1007/s12190-014-0801-6

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  • DOI: https://doi.org/10.1007/s12190-014-0801-6

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