A von Neumann Alternating Method for Finding Common Solutions to   Variational Inequalities
  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. 
Yair Censor, Aviv Gibali and Simeon Reich
math.OC physics.med-ph