[{"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","_id":"7000","status":"public","ddc":[],"intvolume":" 38","oa_version":"Published Version","type":"journal_article","abstract":[{"lang":"eng"}],"issue":"4","publication":"Computational and Applied Mathematics","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.” Computational and Applied Mathematics, vol. 38, no. 4, 161, Springer Nature, 2019, doi:10.1007/s40314-019-0955-9.","chicago":"Shehu, Yekini, Olaniyi S. Iyiola, Xiao-Huan Li, and Qiao-Li Dong. “Convergence Analysis of Projection Method for Variational Inequalities.” Computational and Applied Mathematics. Springer Nature, 2019. https://doi.org/10.1007/s40314-019-0955-9.","apa":"Shehu, Y., Iyiola, O. S., Li, X.-H., & Dong, Q.-L. (2019). Convergence analysis of projection method for variational inequalities. Computational and Applied Mathematics. Springer Nature. https://doi.org/10.1007/s40314-019-0955-9","ieee":"Y. Shehu, O. S. Iyiola, X.-H. Li, and Q.-L. Dong, “Convergence analysis of projection method for variational inequalities,” Computational and Applied Mathematics, vol. 38, no. 4. Springer Nature, 2019.","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."},"article_type":"original","date_published":"2019-12-01T00:00:00Z","scopus_import":"1","dc":{"description":["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."],"type":["info:eu-repo/semantics/article","doc-type:article","text","http://purl.org/coar/resource_type/c_6501"],"identifier":["https://research-explorer.ista.ac.at/record/7000"],"creator":["Shehu, Yekini","Iyiola, Olaniyi S.","Li, Xiao-Huan","Dong, Qiao-Li"],"title":["Convergence analysis of projection method for variational inequalities"],"relation":["info:eu-repo/semantics/altIdentifier/doi/10.1007/s40314-019-0955-9","info:eu-repo/semantics/altIdentifier/issn/2238-3603","info:eu-repo/semantics/altIdentifier/issn/1807-0302","info:eu-repo/semantics/altIdentifier/wos/000488973100005","info:eu-repo/semantics/altIdentifier/arxiv/2101.09081","info:eu-repo/grantAgreement/EC/FP7/616160"],"publisher":["Springer Nature"],"subject":["ddc:510","ddc:515","ddc:518"],"source":["Shehu Y, Iyiola OS, Li X-H, Dong Q-L. Convergence analysis of projection method for variational inequalities. Computational and Applied Mathematics. 2019;38(4). doi:10.1007/s40314-019-0955-9"],"rights":["info:eu-repo/semantics/openAccess"],"language":["eng"],"date":["2019"]},"day":"01","uri_base":"https://research-explorer.ista.ac.at","article_processing_charge":"No","has_accepted_license":"1","publication_status":"published","department":[{"_id":"VlKo","tree":[{"_id":"ResearchGroups"},{"_id":"IST"}]}],"author":[{"first_name":"Yekini","last_name":"Shehu","id":"3FC7CB58-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0001-9224-7139"},{"last_name":"Iyiola","first_name":"Olaniyi S."},{"first_name":"Xiao-Huan","last_name":"Li"},{"first_name":"Qiao-Li","last_name":"Dong"}],"date_created":"2019-11-12T12:41:44Z","dini_type":"doc-type:article","date_updated":"2023-08-30T07:20:32Z","volume":38,"article_number":"161","ec_funded":1,"creator":{"login":"dernst","id":"2DF688A6-F248-11E8-B48F-1D18A9856A87"},"oa":1,"main_file_link":[{"url":"https://doi.org/10.1007/s40314-019-0955-9","open_access":"1"}],"external_id":{"isi":[],"arxiv":[]},"quality_controlled":"1","isi":1,"project":[{"call_identifier":"FP7","name":"Discrete Optimization in Computer Vision: Theory and Practice","_id":"25FBA906-B435-11E9-9278-68D0E5697425"}],"language":[{}],"month":"12","publication_identifier":{"eissn":[],"issn":[]}}]