[{"publication_identifier":{"issn":["2238-3603"],"eissn":["1807-0302"]},"year":"2019","type":"journal_article","article_type":"original","intvolume":"        38","date_created":"2019-11-12T12:41:44Z","day":"01","oa_version":"None","date_updated":"2020-01-21T12:05:29Z","status":"public","volume":38,"language":[{"iso":"eng"}],"article_number":"161","publisher":"Springer Nature","citation":{"mla":"Shehu, Yekini, et al. “Convergence Analysis of Projection Method for Variational Inequalities.” <i>Computational and Applied Mathematics</i>, vol. 38, no. 4, 161, Springer Nature, 2019, doi:<a href=\"https://doi.org/10.1007/s40314-019-0955-9\">10.1007/s40314-019-0955-9</a>.","chicago":"Shehu, Yekini, Olaniyi S. Iyiola, Xiao-Huan Li, and Qiao-Li Dong. “Convergence Analysis of Projection Method for Variational Inequalities.” <i>Computational and Applied Mathematics</i> 38, no. 4 (2019). <a href=\"https://doi.org/10.1007/s40314-019-0955-9\">https://doi.org/10.1007/s40314-019-0955-9</a>.","apa":"Shehu, Y., Iyiola, O. S., Li, X.-H., &#38; Dong, Q.-L. (2019). Convergence analysis of projection method for variational inequalities. <i>Computational and Applied Mathematics</i>, <i>38</i>(4). <a href=\"https://doi.org/10.1007/s40314-019-0955-9\">https://doi.org/10.1007/s40314-019-0955-9</a>","short":"Y. Shehu, O.S. Iyiola, X.-H. Li, Q.-L. Dong, Computational and Applied Mathematics 38 (2019).","ieee":"Y. Shehu, O. S. Iyiola, X.-H. Li, and Q.-L. Dong, “Convergence analysis of projection method for variational inequalities,” <i>Computational and Applied Mathematics</i>, vol. 38, no. 4, 2019.","ama":"Shehu Y, Iyiola OS, Li X-H, Dong Q-L. Convergence analysis of projection method for variational inequalities. <i>Computational and Applied Mathematics</i>. 2019;38(4). doi:<a href=\"https://doi.org/10.1007/s40314-019-0955-9\">10.1007/s40314-019-0955-9</a>","ista":"Shehu Y, Iyiola OS, Li X-H, Dong Q-L. 2019. Convergence analysis of projection method for variational inequalities. Computational and Applied Mathematics. 38(4), 161."},"date_published":"2019-12-01T00:00:00Z","month":"12","publication":"Computational and Applied Mathematics","title":"Convergence analysis of projection method for variational inequalities","quality_controlled":"1","publication_status":"published","department":[{"_id":"VlKo"}],"article_processing_charge":"No","author":[{"first_name":"Yekini","full_name":"Shehu, Yekini","id":"3FC7CB58-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0001-9224-7139","last_name":"Shehu"},{"full_name":"Iyiola, Olaniyi S.","first_name":"Olaniyi S.","last_name":"Iyiola"},{"last_name":"Li","first_name":"Xiao-Huan","full_name":"Li, Xiao-Huan"},{"full_name":"Dong, Qiao-Li","first_name":"Qiao-Li","last_name":"Dong"}],"_id":"7000","issue":"4","user_id":"D865714E-FA4E-11E9-B85B-F5C5E5697425","abstract":[{"text":"The main contributions of this paper are the proposition and the convergence analysis of a class of inertial projection-type algorithm for solving variational inequality problems in real Hilbert spaces where the underline operator is monotone and uniformly continuous. We carry out a unified analysis of the proposed method under very mild assumptions. In particular, weak convergence of the generated sequence is established and nonasymptotic O(1 / n) rate of convergence is established, where n denotes the iteration counter. We also present some experimental results to illustrate the profits gained by introducing the inertial extrapolation steps.","lang":"eng"}],"doi":"10.1007/s40314-019-0955-9"}]