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Volume 4, Issue 2, 1 August 2022, Pages 167-183
Abstract. We provide two novel projection and contraction algorithms to find the minimum-norm solution of the variational inequality problem with a pseudo monotone 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 suggested iterative algorithms are established under suitable conditions. Some numerical experiments are discussed to demonstrate the computational efficiency of the proposed algorithms in comparison with several existing ones.
How to Cite this Article:
Bing Tan, Songxiao Li, Revisiting projection and contraction algorithms for solving variational inequalities and applications, Appl. Set-Valued Anal. Optim. 4 (2022), 167-183.