Inertial subgradient extragradient methods for solving variational inequality problems and fixed point problems
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Date
Authors
Okeke, Godwin Amechi
Abbas, Mujahid
De la Sen, Manuel
Journal Title
Journal ISSN
Volume Title
Publisher
MDPI
Abstract
We propose two new iterative algorithms for solving K-pseudomonotone variational inequality
problems in the framework of real Hilbert spaces. These newly proposed methods are obtained by
combining the viscosity approximation algorithm, the Picard Mann algorithm and the inertial subgradient
extragradient method. We establish some strong convergence theorems for our newly developed
methods under certain restriction. Our results extend and improve several recently announced results.
Furthermore, we give several numerical experiments to show that our proposed algorithms performs
better in comparison with several existing methods.
Description
Keywords
K-pseudomonotone, Inertial iterative algorithms, Variational inequality problems, Hilbert spaces, Strong convergence
Sustainable Development Goals
Citation
Okeke, G.A., Abbas, M. & De la Sen, M. 2020, 'Inertial subgradient extragradient methods for solving variational inequality problems and fixed point problems', Axioms, vol. 9, no. 2, art. 51, pp. 1-24.