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