3.9 Article

Variant extragradient-type method for monotone variational inequalities

Journal

FIXED POINT THEORY AND APPLICATIONS
Volume -, Issue -, Pages -

Publisher

SPRINGER INTERNATIONAL PUBLISHING AG
DOI: 10.1186/1687-1812-2013-185

Keywords

variational inequality; extragradient-type method; nonexpansive mapping; projection; strong convergence

Categories

-

Funding

  1. NSFC [11071279, 71161001-G0105]
  2. NSC [100-2221-E-230-012]

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Korpelevich's extragradient method has been studied and extended extensively due to its applicability to the whole class of monotone variational inequalities. In the present paper, we propose a variant extragradient-type method for solving monotone variational inequalities. Convergence analysis of the method is presented under reasonable assumptions on the problem data.

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