[{"scopus_import":"1","month":"12","_id":"7000","title":"Convergence analysis of projection method for variational inequalities","publication":"Computational and Applied Mathematics","oa":1,"volume":38,"quality_controlled":"1","article_number":"161","publication_identifier":{"issn":["2238-3603"],"eissn":["1807-0302"]},"external_id":{"arxiv":["2101.09081"],"isi":["000488973100005"]},"date_created":"2019-11-12T12:41:44Z","day":"01","publication_status":"published","issue":"4","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","article_type":"original","department":[{"_id":"VlKo"}],"type":"journal_article","arxiv":1,"isi":1,"date_updated":"2024-11-04T13:52:44Z","project":[{"_id":"25FBA906-B435-11E9-9278-68D0E5697425","name":"Discrete Optimization in Computer Vision: Theory and Practice","grant_number":"616160","call_identifier":"FP7"}],"article_processing_charge":"No","publisher":"Springer Nature","abstract":[{"lang":"eng","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."}],"corr_author":"1","doi":"10.1007/s40314-019-0955-9","ddc":["510","515","518"],"oa_version":"Published Version","date_published":"2019-12-01T00:00:00Z","year":"2019","has_accepted_license":"1","status":"public","ec_funded":1,"language":[{"iso":"eng"}],"main_file_link":[{"url":"https://doi.org/10.1007/s40314-019-0955-9","open_access":"1"}],"intvolume":"        38","citation":{"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>","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.","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>","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>.","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.","short":"Y. Shehu, O.S. Iyiola, X.-H. Li, Q.-L. Dong, Computational and Applied Mathematics 38 (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>."},"author":[{"orcid":"0000-0001-9224-7139","first_name":"Yekini","full_name":"Shehu, Yekini","last_name":"Shehu","id":"3FC7CB58-F248-11E8-B48F-1D18A9856A87"},{"first_name":"Olaniyi S.","last_name":"Iyiola","full_name":"Iyiola, Olaniyi S."},{"first_name":"Xiao-Huan","last_name":"Li","full_name":"Li, Xiao-Huan"},{"first_name":"Qiao-Li","full_name":"Dong, Qiao-Li","last_name":"Dong"}]}]