[{"volume":38,"main_file_link":[{"open_access":"1","url":"https://doi.org/10.1007/s40314-019-0955-9"}],"oa":1,"publication_status":"published","_id":"7000","date_published":"2019-12-01T00:00:00Z","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"}],"article_number":"161","article_processing_charge":"No","issue":"4","arxiv":1,"publication_identifier":{"issn":["2238-3603"],"eissn":["1807-0302"]},"scopus_import":"1","external_id":{"isi":["000488973100005"],"arxiv":["2101.09081"]},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","date_updated":"2023-08-30T07:20:32Z","year":"2019","oa_version":"Published Version","has_accepted_license":"1","article_type":"original","intvolume":"        38","status":"public","publication":"Computational and Applied Mathematics","quality_controlled":"1","department":[{"_id":"VlKo"}],"isi":1,"publisher":"Springer Nature","date_created":"2019-11-12T12:41:44Z","month":"12","ddc":["510","515","518"],"doi":"10.1007/s40314-019-0955-9","language":[{"iso":"eng"}],"project":[{"_id":"25FBA906-B435-11E9-9278-68D0E5697425","call_identifier":"FP7","grant_number":"616160","name":"Discrete Optimization in Computer Vision: Theory and Practice"}],"type":"journal_article","author":[{"full_name":"Shehu, Yekini","first_name":"Yekini","last_name":"Shehu","id":"3FC7CB58-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0001-9224-7139"},{"full_name":"Iyiola, Olaniyi S.","first_name":"Olaniyi S.","last_name":"Iyiola"},{"last_name":"Li","first_name":"Xiao-Huan","full_name":"Li, Xiao-Huan"},{"last_name":"Dong","first_name":"Qiao-Li","full_name":"Dong, Qiao-Li"}],"day":"01","title":"Convergence analysis of projection method for variational inequalities","citation":{"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.","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. Springer Nature, 2019.","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>. Springer Nature, 2019. <a href=\"https://doi.org/10.1007/s40314-019-0955-9\">https://doi.org/10.1007/s40314-019-0955-9</a>.","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>.","short":"Y. Shehu, O.S. Iyiola, X.-H. Li, Q.-L. Dong, Computational and Applied Mathematics 38 (2019).","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>. Springer Nature. <a href=\"https://doi.org/10.1007/s40314-019-0955-9\">https://doi.org/10.1007/s40314-019-0955-9</a>","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>"},"ec_funded":1}]