A von Neumann Alternating Method for Finding Common Solutions to Variational Inequalities
Optimization and Control
2012-02-06 v1 Medical Physics
Abstract
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.
Cite
@article{arxiv.1202.0611,
title = {A von Neumann Alternating Method for Finding Common Solutions to Variational Inequalities},
author = {Yair Censor and Aviv Gibali and Simeon Reich},
journal= {arXiv preprint arXiv:1202.0611},
year = {2012}
}
Comments
Nonlinear Analysis Series A: Theory, Methods & Applications, accepted for publication