{"publication_identifier":{"eissn":["1572-9427"],"issn":["1566-113X"]},"date_published":"2021-06-01T00:00:00Z","project":[{"grant_number":"616160","call_identifier":"FP7","_id":"25FBA906-B435-11E9-9278-68D0E5697425","name":"Discrete Optimization in Computer Vision: Theory and Practice"},{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"}],"day":"01","status":"public","ec_funded":1,"publication":"Networks and Spatial Economics","quality_controlled":"1","external_id":{"isi":["000625002100001"]},"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","file_date_updated":"2021-08-11T12:44:16Z","abstract":[{"text":"In this paper, we present two new inertial projection-type methods for solving multivalued variational inequality problems in finite-dimensional spaces. We establish the convergence of the sequence generated by these methods when the multivalued mapping associated with the problem is only required to be locally bounded without any monotonicity assumption. Furthermore, the inertial techniques that we employ in this paper are quite different from the ones used in most papers. Moreover, based on the weaker assumptions on the inertial factor in our methods, we derive several special cases of our methods. Finally, we present some experimental results to illustrate the profits that we gain by introducing the inertial extrapolation steps.","lang":"eng"}],"publisher":"Springer Nature","article_processing_charge":"Yes (via OA deal)","issue":"2","language":[{"iso":"eng"}],"citation":{"chicago":"Izuchukwu, Chinedu, and Yekini Shehu. “New Inertial Projection Methods for Solving Multivalued Variational Inequality Problems beyond Monotonicity.” <i>Networks and Spatial Economics</i>. Springer Nature, 2021. <a href=\"https://doi.org/10.1007/s11067-021-09517-w\">https://doi.org/10.1007/s11067-021-09517-w</a>.","ieee":"C. Izuchukwu and Y. Shehu, “New inertial projection methods for solving multivalued variational inequality problems beyond monotonicity,” <i>Networks and Spatial Economics</i>, vol. 21, no. 2. Springer Nature, pp. 291–323, 2021.","ama":"Izuchukwu C, Shehu Y. New inertial projection methods for solving multivalued variational inequality problems beyond monotonicity. <i>Networks and Spatial Economics</i>. 2021;21(2):291-323. doi:<a href=\"https://doi.org/10.1007/s11067-021-09517-w\">10.1007/s11067-021-09517-w</a>","apa":"Izuchukwu, C., &#38; Shehu, Y. (2021). New inertial projection methods for solving multivalued variational inequality problems beyond monotonicity. <i>Networks and Spatial Economics</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s11067-021-09517-w\">https://doi.org/10.1007/s11067-021-09517-w</a>","short":"C. Izuchukwu, Y. Shehu, Networks and Spatial Economics 21 (2021) 291–323.","ista":"Izuchukwu C, Shehu Y. 2021. New inertial projection methods for solving multivalued variational inequality problems beyond monotonicity. Networks and Spatial Economics. 21(2), 291–323.","mla":"Izuchukwu, Chinedu, and Yekini Shehu. “New Inertial Projection Methods for Solving Multivalued Variational Inequality Problems beyond Monotonicity.” <i>Networks and Spatial Economics</i>, vol. 21, no. 2, Springer Nature, 2021, pp. 291–323, doi:<a href=\"https://doi.org/10.1007/s11067-021-09517-w\">10.1007/s11067-021-09517-w</a>."},"doi":"10.1007/s11067-021-09517-w","scopus_import":"1","author":[{"first_name":"Chinedu","full_name":"Izuchukwu, Chinedu","last_name":"Izuchukwu"},{"orcid":"0000-0001-9224-7139","full_name":"Shehu, Yekini","last_name":"Shehu","first_name":"Yekini","id":"3FC7CB58-F248-11E8-B48F-1D18A9856A87"}],"ddc":["510"],"type":"journal_article","year":"2021","keyword":["Computer Networks and Communications","Software","Artificial Intelligence"],"date_created":"2021-03-10T12:18:47Z","page":"291-323","month":"06","date_updated":"2023-09-05T15:32:32Z","volume":21,"_id":"9234","title":"New inertial projection methods for solving multivalued variational inequality problems beyond monotonicity","department":[{"_id":"VlKo"}],"file":[{"content_type":"application/pdf","date_created":"2021-08-11T12:44:16Z","file_name":"2021_NetworksSpatialEconomics_Shehu.pdf","relation":"main_file","file_id":"9884","success":1,"creator":"kschuh","date_updated":"2021-08-11T12:44:16Z","file_size":834964,"checksum":"22b4253a2e5da843622a2df713784b4c","access_level":"open_access"}],"intvolume":"        21","has_accepted_license":"1","oa_version":"Published Version","oa":1,"publication_status":"published","article_type":"original","isi":1,"tmp":{"short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png"},"acknowledgement":"The authors sincerely thank the Editor-in-Chief and anonymous referees for their careful reading, constructive comments and fruitful suggestions that help improve the manuscript. The research of the first author is supported by the National Research Foundation (NRF) South Africa (S& F-DSI/NRF Free Standing Postdoctoral Fellowship; Grant Number: 120784). The first author also acknowledges the financial support from DSI/NRF, South Africa Center of Excellence in Mathematical and Statistical Sciences (CoE-MaSS) Postdoctoral Fellowship. The second 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). Open Access funding provided by Institute of Science and Technology (IST Austria)."}