Strong convergence of subgradient extragradient methods for the variational inequality problem in Hilbert space

Yair Censor, Aviv Gibali, Simeon Reich · Optimization methods & software · 2011

We study two projection algorithms for solving the variational inequality problem in Hilbert space. One algorithm is a modified subgradient extragradient method in which an additional projection onto the intersection of two half-spaces is employed. Another algorithm is based on the shrinking projection method. We establish strong convergence theorems for both algorithms.

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