Projection algorithms for the system of mixed variational inequalities in Banach spaces |
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| Authors: | Qing-bang Zhang Ruliang Deng Liu Liu |
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| Affiliation: | 1. College of Economic Mathematics, Southwestern University of Finance and Economics, Chengdu, Sichuan 610074, PR China;2. Department of Mathematics, Sichuan University of Arts and Science, Dazhou, Sichuan 635000, PR China |
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| Abstract: | In this paper, the system of mixed variational inequalities is introduced and considered in Banach spaces, which includes some known systems of variational inequalities and the classical variational inequalities as special cases. Using the projection operator technique, we suggest some iterative algorithms for solving the system of mixed variational inequalities and prove the convergence of the proposed iterative methods under suitable conditions. Our theorems generalize some known results shown recently. |
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