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Convergence Theorems for Variational Inequalities on the Solution Set of Ky Fan Inequalities
Pham Ngoc Anh
,
Tran T. H. Anh
,
Takahito Kuno
Abstract
Based on the subgradient methods and fixed point techniques, we develop a new iteration method for solving variational inequalities on the solution set of Ky Fan inequalities. The convergence for the proposed algorithms to the solution is guaranteed under certain assumptions in the Euclidean space $\mathcal R^{n}$.