In this paper, we presented a logarithmic-quadratic proximal alternating direction method for structured variational inequalities. The method generates the new iterate by searching the optimal step size along the descent direction. Global convergence of the new method is proved under certain assumptions.
Bnouhachem, Abdellah and Hamdi, Abdelouahed
"A Hybrid LQP Alternating Direction Method for Solving Variational Inequality Problems with Separable Structure,"
Applied Mathematics & Information Sciences: Vol. 09:
3, Article 19.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol09/iss3/19