Okeke, Godwin AmechiAbbas, MujahidDe la Sen, Manuel2020-10-152020-10-152020-06Okeke, 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. 1-24.2075-1680 (online)10.3390/axioms9020051http://hdl.handle.net/2263/76478We 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.en© 2020 by the authors. Licensee : MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license.K-pseudomonotoneInertial iterative algorithmsVariational inequality problemsHilbert spacesStrong convergenceArticle