Iterative methods for solving quasi-variational inclusion and fixed point problem in <Emphasis Type="Italic">q</Emphasis>-uniformly smooth Banach spaces |
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| Authors: | Pongsakorn Sunthrayuth Prasit Cholamjiak |
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| Institution: | 1.Department of Mathematics and Computer Science, Faculty of Science and Technology,Rajamangala University of Technology Thanyaburi (RMUTT),Pathumthani,Thailand;2.School of Science,University of Phayao,Phayao,Thailand |
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| Abstract: | In this work, we introduce implicit and explicit iterations for solving the variational inclusion problem for the sum of two operators and the fixed point problem of nonexpansive mappings. We then prove its strong convergence theorems in the framework of Banach spaces. We finally provide some applications of the main results. |
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