Iteration Methods for a General Variational Inequality System and Common Fixed Point Problems of Nonexpansive Mappings in q-Uniformly Smooth Banach Spaces

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Published: Mar 26, 2022
DOI: https://doi.org/10.14456/past.2022.1
Keywords:
Banach space Fixed point Inverse-strongly accretive mapping q-uniformly smooth General variational inequality system

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Uamporn Witthayarat
Department of Mathematics, School of Science, University of Phayao
Kriengsak Wattanawitoon
Division of Mathematics, Faculty of Science and Agricultural Technology, Rajamangala University of Technology Lanna Tak
Phayap Katchang
Division of Mathematics, Faculty of Science and Agricultural Technology, Rajamangala University of Technology Lanna Tak

Abstract

This research proposed the iteration method for finding a common fixed point of an infinite family of nonexpansive mappings and two inverse strongly accretive mappings in -uniformly smooth Banach spaces. Furthermore, our method can also solve a new general variational inequality system and its strong convergence theorem is proved under some appropriate conditions. Our result improves and extends the previous outcomes in the literature.

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How to Cite
1.
Witthayarat U, Wattanawitoon K, Katchang P. Iteration Methods for a General Variational Inequality System and Common Fixed Point Problems of Nonexpansive Mappings in q-Uniformly Smooth Banach Spaces. Prog Appl Sci Tech. [Internet]. 2022 Mar. 26 [cited 2024 Nov. 15];12(1):1-10. Available from: https://ph02.tci-thaijo.org/index.php/past/article/view/245557
Issue
Vol. 12 No. 1 (2022): January - April 2022
Section
Mathematics and Applied Statistics
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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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