| Issue |
RAIRO-Oper. Res.
Volume 55, Number 4, July-August 2021
|
|
|---|---|---|
| Page(s) | 2165 - 2180 | |
| DOI | https://doi.org/10.1051/ro/2021091 | |
| Published online | 08 July 2021 | |
Inertial normal S-type Tseng’s extragradient algorithm for solution of variational inequality problems
Department of Mathematics, Institute of Science, Banaras Hindu University, Varanasi 221005, India
* Corresponding author: amit.bsingh1992@gmail.com
Received:
4
December
2020
Accepted:
16
June
2021
In this paper, we introduce inertial Tseng’s extragradient algorithms combined with normal-S iteration process for solving variational inequality problems involving pseudo-monotone and Lipschitz continuous operators. Under mild conditions, we establish the weak convergence results in Hilbert spaces. Numerical examples are also presented to show that faster behaviour of the proposed method.
Mathematics Subject Classification: 47J05 / 47J25 / 47J20
Key words: Pseudo-Monotone mapping / Tseng’s Extragradient Method / Variational Inequality Problems
© The authors. Published by EDP Sciences, ROADEF, SMAI 2021
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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