{"article_number":"161","main_file_link":[{"open_access":"1","url":"https://doi.org/10.1007/s40314-019-0955-9"}],"ec_funded":1,"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","date_created":"2019-11-12T12:41:44Z","issue":"4","day":"01","volume":38,"publisher":"Springer Nature","doi":"10.1007/s40314-019-0955-9","project":[{"call_identifier":"FP7","grant_number":"616160","_id":"25FBA906-B435-11E9-9278-68D0E5697425","name":"Discrete Optimization in Computer Vision: Theory and Practice"}],"oa_version":"Published Version","oa":1,"date_updated":"2021-01-25T15:40:17Z","language":[{"iso":"eng"}],"author":[{"id":"3FC7CB58-F248-11E8-B48F-1D18A9856A87","first_name":"Yekini","last_name":"Shehu","orcid":"0000-0001-9224-7139","full_name":"Shehu, Yekini"},{"first_name":"Olaniyi S.","last_name":"Iyiola","full_name":"Iyiola, Olaniyi S."},{"full_name":"Li, Xiao-Huan","last_name":"Li","first_name":"Xiao-Huan"},{"first_name":"Qiao-Li","full_name":"Dong, Qiao-Li","last_name":"Dong"}],"scopus_import":"1","article_type":"original","month":"12","status":"public","intvolume":"        38","_id":"7000","ddc":["510","515","518"],"article_processing_charge":"No","quality_controlled":"1","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>.","short":"Y. Shehu, O.S. Iyiola, X.-H. Li, Q.-L. Dong, Computational and Applied Mathematics 38 (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>","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>","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.","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>."},"year":"2019","department":[{"_id":"VlKo"}],"title":"Convergence analysis of projection method for variational inequalities","date_published":"2019-12-01T00:00:00Z","publication_status":"published","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"}],"publication_identifier":{"issn":["2238-3603"],"eissn":["1807-0302"]},"type":"journal_article","has_accepted_license":"1","external_id":{"arxiv":["2101.09081"]},"publication":"Computational and Applied Mathematics"}