A Strongly Convergent Subgradient Extragradient-Halpern Method for Solving a Class of Bilevel Pseudomonotone Variational Inequalities

Authors: Tran Viet Anh,

https://doi.org/10.1007/s10013-016-0196-9

Publisher, magazine: ,

Publication year: 2017

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Abstract

We propose an algorithm which can be considered as a combination between the subgradient and Halpern methods for strongly monotone bilevel variational inequalities where the lower problem is a pseudomonotone variational inequality. The strong convergence of the sequences generated by the algorithm is proved.

Tags: Bilevel pseudomonotone variational inequalities; Subgradient extragradient-Halpern method; Strong convergence