Two new extragradient algorithms for solving non-monotone VIs in Hilbert spaces

Duong Viet Thong, Xiaohuan Li, Vu Tien Dung, Hoang Van Thang · Optimization · 2025

In this work, we propose two new iterative schemes for finding an element of the set of solutions of a non-monotone, Lipschitz continuous variational inequality problem in real Hilbert spaces. The weak convergence theorems of the sequence generated by the proposed algorithms are presented. Finally, some numerical examples are given to illustrate the effectiveness of the algorithms.

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