A von Neumann Alternating Method for Finding Common Solutions to Variational Inequalities

Published: 2012/02/03

Complementarity and Variational Inequalities, Nonlinear Optimization alternating method, averaged operator, fixed point, hilbert space, inverse strongly-monotone operator, metric projection, nonexpansive operator, resolvent, variational inequality Short URL: https://optimization-online.org/?p=11903

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.

Citation

Nonlinear Analysis Series A: Theory, Methods & Applications, accepted for publication.

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