A von Neumann alternating method for finding common solutions to variational inequalities |
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| Authors: | Yair Censor Aviv Gibali Simeon Reich |
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| Affiliation: | 1. Department of Mathematics, University of Haifa, Mt. Carmel, 31905 Haifa, Israel;2. Department of Mathematics, The Technion - Israel Institute of Technology, Technion City, 32000 Haifa, Israel |
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| Abstract: | By modifying von Neumann’s alternating projections algorithm, we obtain an alternating method for solving the recently introduced Common Solutions to Variational Inequalities Problem (CSVIP). For simplicity, we mainly confine our attention to the two-set CSVIP, which entails finding common solutions to two unrelated variational inequalities in Hilbert space. |
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| Keywords: | 47H05 47H09 47J20 49J40 |
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