{"abstract":[{"text":"Weak convergence of inertial iterative method for solving variational inequalities is the focus of this paper. The cost function is assumed to be non-Lipschitz and monotone. We propose a projection-type method with inertial terms and give weak convergence analysis under appropriate conditions. Some test results are performed and compared with relevant methods in the literature to show the efficiency and advantages given by our proposed methods.","lang":"eng"}],"date_updated":"2024-10-09T20:59:23Z","volume":101,"isi":1,"file":[{"file_id":"8648","access_level":"open_access","content_type":"application/pdf","date_created":"2020-10-12T10:42:54Z","relation":"main_file","embargo":"2021-03-15","creator":"dernst","checksum":"869efe8cb09505dfa6012f67d20db63d","file_size":4282586,"file_name":"2020_ApplicAnalysis_Shehu.pdf","date_updated":"2021-03-16T23:30:06Z"}],"title":"Weak convergence for variational inequalities with inertial-type method","oa":1,"day":"01","_id":"7577","ec_funded":1,"has_accepted_license":"1","scopus_import":"1","citation":{"apa":"Shehu, Y., & Iyiola, O. S. (2022). Weak convergence for variational inequalities with inertial-type method. Applicable Analysis. Taylor & Francis. https://doi.org/10.1080/00036811.2020.1736287","ieee":"Y. Shehu and O. S. Iyiola, “Weak convergence for variational inequalities with inertial-type method,” Applicable Analysis, vol. 101, no. 1. Taylor & Francis, pp. 192–216, 2022.","short":"Y. Shehu, O.S. Iyiola, Applicable Analysis 101 (2022) 192–216.","chicago":"Shehu, Yekini, and Olaniyi S. Iyiola. “Weak Convergence for Variational Inequalities with Inertial-Type Method.” Applicable Analysis. Taylor & Francis, 2022. https://doi.org/10.1080/00036811.2020.1736287.","ista":"Shehu Y, Iyiola OS. 2022. Weak convergence for variational inequalities with inertial-type method. Applicable Analysis. 101(1), 192–216.","ama":"Shehu Y, Iyiola OS. Weak convergence for variational inequalities with inertial-type method. Applicable Analysis. 2022;101(1):192-216. doi:10.1080/00036811.2020.1736287","mla":"Shehu, Yekini, and Olaniyi S. Iyiola. “Weak Convergence for Variational Inequalities with Inertial-Type Method.” Applicable Analysis, vol. 101, no. 1, Taylor & Francis, 2022, pp. 192–216, doi:10.1080/00036811.2020.1736287."},"oa_version":"Submitted Version","department":[{"_id":"VlKo"}],"year":"2022","publication_status":"published","intvolume":" 101","page":"192-216","file_date_updated":"2021-03-16T23:30:06Z","date_published":"2022-01-01T00:00:00Z","corr_author":"1","type":"journal_article","quality_controlled":"1","publisher":"Taylor & Francis","external_id":{"isi":["000518364100001"],"arxiv":["2101.08057"]},"publication_identifier":{"issn":["0003-6811"],"eissn":["1563-504X"]},"author":[{"last_name":"Shehu","first_name":"Yekini","id":"3FC7CB58-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0001-9224-7139","full_name":"Shehu, Yekini"},{"full_name":"Iyiola, Olaniyi S.","first_name":"Olaniyi S.","last_name":"Iyiola"}],"date_created":"2020-03-09T07:06:52Z","issue":"1","language":[{"iso":"eng"}],"publication":"Applicable Analysis","acknowledgement":"The project of the first author has received funding from the European Research Council (ERC) under the European Union's Seventh Framework Program (FP7 - 2007-2013) (Grant agreement No. 616160).","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","article_type":"original","month":"01","article_processing_charge":"No","project":[{"call_identifier":"FP7","grant_number":"616160","_id":"25FBA906-B435-11E9-9278-68D0E5697425","name":"Discrete Optimization in Computer Vision: Theory and Practice"}],"ddc":["510","515","518"],"doi":"10.1080/00036811.2020.1736287","status":"public"}