Finite Convergence of the Proximal Point Algorithm for Variational Inequality Problems |
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| Authors: | Shin-ya Matsushita Li Xu |
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| Affiliation: | 1. Department of Electronics and Information Systems, Akita Prefectural University, 84-4 Yuri-Honjo, Akita, Japan
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| Abstract: | In this paper, we establish sufficient conditions for guaranteeing finite termination of an arbitrary algorithm for solving a variational inequality problem in a Banach space. Applying these conditions, it shows that sequences generated by the proximal point algorithm terminate at solutions in a finite number of iterations. |
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