An Extension of Subgradient Method for Variational Inequality Problems in Hilbert Space

Xueyong Wang, Shengjie Li, Xipeng Kou · Abstract and Applied Analysis · 2013

An extension of subgradient method for solving variational inequality problems is presented. A new iterative process, which relates to the fixed point of a nonexpansive mapping and the current iterative point, is generated. A weak convergence theorem is obtained for three sequences generated by the iterative process under some mild conditions.

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