Acta Mathematica Vietnamica

Acta Mathematica Vietnamica

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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

pp. 761-773

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 $\mathcal R^{n}$.