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Revisiting projection and contraction algorithms for solving variational inequalities and applications

Revisiting projection and contraction algorithms for solving variational inequalities and applications

We provide two novel projection and contraction algorithms to find the minimum-norm solution of the variational inequality problem with a pseudomonotone and non-Lipschitz continuous operator in a real Hilbert space.Our algorithms can work adaptively without requiring the prior information of the Lipschitz constant of the operator.Strong convergence theorems for the …