Modified inertial methods for finding common solutions to variational inequality problems


	Open access
	Modified inertial methods for finding common solutions to variational inequality problems


	Fixed Point Theory, Volume 20, No. 2, 2019, 683-702, June 1st, 2019 DOI: 10.24193/fpt-ro.2019.2.45 Authors: Yekini Shehu, Olaniyi S. Iyiola and Emmanuel Akaligwo Abstract: It is our aim in this paper to propose modified inertial versions of both subgradient extragradient method and the extragradient method for solving common solutions to variational inequality problems involving monotone and Lipschitz continuous operators and obtain weak convergence results in real Hilbert spaces. We give several numerical illustrations of our proposed methods and give numerical comparisons of our methods with subgradient extragradient and extragradient methods. Key Words and Phrases: Variational inequality, monotone operator, inertial terms, weak convergence, Hilbert spaces. 2010 Mathematics Subject Classification: 47H06, 47H09, 47J05, 47J25. Published on-line: June 1st, 2019. Abstract pdf Fulltext pdf Back to volume's table of contents