A Modified Extragradient Method for Infinite-Dimensional Variational Inequalities

Authors: Phạm Duy Khánh,

https://doi.org/10.1007/s40306-015-0150-z

Publisher, magazine: ,

Publication year: 2016

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Abstract

A modified form of the extragradient method for solving infinite-dimensional variational inequalities is considered. The weak convergence and the strong convergence for the iterative sequence generated by this method are studied. We also propose several examples to analyze the obtained results.

Tags: Modified extragradient method; Variant stepsizes; Pseudomonotone mapping; Monotone mapping; Lipschitz continuity