A von Neumann Alternating Method for Finding Common Solutions to Variational Inequalities
نویسندگان
چکیده
Modifying von Neumanns alternating projections algorithm, we obtain an alternating method for solving the recently introduced Common Solutions to Variational Inequalities Problem (CSVIP). For simplicity, we mainly con ne our attention to the two-set CSVIP, which entails nding common solutions to two unrelated variational inequalities in Hilbert space. Keywords: Alternating method, averaged operator, xed point, Hilbert space, inverse strongly monotone operator, metric projection, nonexpansive operator, resolvent, variational inequality. 2010 MSC: 47H05, 47H09, 47J20, 49J40
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