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Inertial Iterative Schemes with Variable Step Sizes for Variational Inequality Problem Involving Pseudomonotone Operator by Abubakar, Jamilu; Kumam, Poom; Rehman, Habib ur; Hassan Ibrahim, Abdulkarim is a Mathematics article available to read on EtoBox.

What is Inertial Iterative Schemes with Variable Step Sizes for Variational Inequality Problem Involving Pseudomonotone Operator about?

Two inertial subgradient extragradient algorithms for solving variational inequality problems involving pseudomonotone operator are proposed in this article. The iterative schemes use self-adaptive step sizes which do not require the prior knowledge of the Lipschitz constant of the underlying operator. Furthermore, under mild assumptions, we show the weak and strong convergence of the sequences generated by the proposed algorithms. The strong convergence in the second algorithm follows from the use of viscosity method. Numerical experiments both in finiteand infinite-dimensional spaces are reported to illustrate the inertial effect and the computational performance of the proposed algorithms in comparison with the existing state of the art algorithms.

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Author

Abubakar, Jamilu; Kumam, Poom; Rehman, Habib ur; Hassan Ibrahim, Abdulkarim

Publisher

MDPI AG; Basel: MDPI AG, 2013- (ISSN 2227-7390)

Published

2020

Language

EN

Field

Mathematics (Physical Sciences)