A double projection algorithm for multi-valued variational inequalities and a unified framework of the method |
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| Authors: | Changjie Fang Yiran He |
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| Institution: | a Institute of Applied Mathematics, Chongqing University of Posts and Telecommunications, Chongqing 400065, China
b Department of Mathematics, Sichuan Normal University, Chengdu, Sichuan 610068, China |
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| Abstract: | In this paper, we propose a double projection algorithm for a generalized variational inequality with a multi-valued mapping. Under standard conditions, our method is proved to be globally convergent to a solution of the variational inequality problem. Moreover, we present a unified framework of projection-type methods for multi-valued variational inequalities. Preliminary computational experience is also reported. |
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| Keywords: | Generalized variational inequality Pseudomonotone mapping Multi-valued mapping Projection algorithm Unified framework |
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