Modified projection method for strongly pseudomonotone variational inequalities

Authors: Phạm Duy Khánh, Phan Tự Vượng,

https://doi.org/10.1007/s10898-013-0042-5

Publisher, magazine: ,

Publication year: 2014

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Abstract

A modified projection method for strongly pseudomonotone variational inequalities is considered. Strong convergence and error estimates for the sequences generated by this method are studied in two versions of the method: the stepsizes are chosen arbitrarily from a given fixed closed interval and the stepsizes form a non-summable decreasing sequence of positive real numbers. We also propose some interesting examples to analyze the obtained results.

Tags: Variational inequality, Strong monotonicity, Strong pseudomonotonicity, Projection method, Variable stepsizes, Strong convergence, Error estimates