[{"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","citation":{"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.","chicago":"Izuchukwu, Chinedu, and Yekini Shehu. “New Inertial Projection Methods for Solving Multivalued Variational Inequality Problems beyond Monotonicity.” Networks and Spatial Economics. Springer Nature, 2021. https://doi.org/10.1007/s11067-021-09517-w.","ieee":"C. Izuchukwu and Y. Shehu, “New inertial projection methods for solving multivalued variational inequality problems beyond monotonicity,” Networks and Spatial Economics, vol. 21, no. 2. Springer Nature, pp. 291–323, 2021.","short":"C. Izuchukwu, Y. Shehu, Networks and Spatial Economics 21 (2021) 291–323.","ama":"Izuchukwu C, Shehu Y. New inertial projection methods for solving multivalued variational inequality problems beyond monotonicity. Networks and Spatial Economics. 2021;21(2):291-323. doi:10.1007/s11067-021-09517-w","apa":"Izuchukwu, C., & Shehu, Y. (2021). New inertial projection methods for solving multivalued variational inequality problems beyond monotonicity. Networks and Spatial Economics. Springer Nature. https://doi.org/10.1007/s11067-021-09517-w","mla":"Izuchukwu, Chinedu, and Yekini Shehu. “New Inertial Projection Methods for Solving Multivalued Variational Inequality Problems beyond Monotonicity.” Networks and Spatial Economics, vol. 21, no. 2, Springer Nature, 2021, pp. 291–323, doi:10.1007/s11067-021-09517-w."},"title":"New inertial projection methods for solving multivalued variational inequality problems beyond monotonicity","author":[{"first_name":"Chinedu","last_name":"Izuchukwu","full_name":"Izuchukwu, Chinedu"},{"last_name":"Shehu","full_name":"Shehu, Yekini","orcid":"0000-0001-9224-7139","id":"3FC7CB58-F248-11E8-B48F-1D18A9856A87","first_name":"Yekini"}],"article_processing_charge":"Yes (via OA deal)","external_id":{"isi":["000625002100001"]},"project":[{"name":"Discrete Optimization in Computer Vision: Theory and Practice","grant_number":"616160","call_identifier":"FP7","_id":"25FBA906-B435-11E9-9278-68D0E5697425"},{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"}],"day":"01","publication":"Networks and Spatial Economics","isi":1,"has_accepted_license":"1","year":"2021","date_published":"2021-06-01T00:00:00Z","doi":"10.1007/s11067-021-09517-w","date_created":"2021-03-10T12:18:47Z","page":"291-323","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).","quality_controlled":"1","publisher":"Springer Nature","oa":1,"ddc":["510"],"date_updated":"2023-09-05T15:32:32Z","file_date_updated":"2021-08-11T12:44:16Z","department":[{"_id":"VlKo"}],"_id":"9234","status":"public","keyword":["Computer Networks and Communications","Software","Artificial Intelligence"],"type":"journal_article","article_type":"original","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"file":[{"creator":"kschuh","file_size":834964,"date_updated":"2021-08-11T12:44:16Z","file_name":"2021_NetworksSpatialEconomics_Shehu.pdf","date_created":"2021-08-11T12:44:16Z","relation":"main_file","access_level":"open_access","content_type":"application/pdf","success":1,"checksum":"22b4253a2e5da843622a2df713784b4c","file_id":"9884"}],"language":[{"iso":"eng"}],"publication_identifier":{"eissn":["1572-9427"],"issn":["1566-113X"]},"publication_status":"published","volume":21,"issue":"2","license":"https://creativecommons.org/licenses/by/4.0/","ec_funded":1,"oa_version":"Published Version","abstract":[{"lang":"eng","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."}],"month":"06","intvolume":" 21","scopus_import":"1"},{"publication_identifier":{"issn":["0302-9743"],"isbn":["9783030678982"],"eissn":["1611-3349"]},"year":"2021","publication_status":"published","day":"28","language":[{"iso":"eng"}],"publication":"Conference on Algorithms and Discrete Applied Mathematics","page":"346-358","volume":12601,"date_published":"2021-01-28T00:00:00Z","doi":"10.1007/978-3-030-67899-9_28","date_created":"2021-03-07T23:01:25Z","abstract":[{"text":"In the multiway cut problem we are given a weighted undirected graph G=(V,E) and a set T⊆V of k terminals. The goal is to find a minimum weight set of edges E′⊆E with the property that by removing E′ from G all the terminals become disconnected. In this paper we present a simple local search approximation algorithm for the multiway cut problem with approximation ratio 2−2k . We present an experimental evaluation of the performance of our local search algorithm and show that it greatly outperforms the isolation heuristic of Dalhaus et al. and it has similar performance as the much more complex algorithms of Calinescu et al., Sharma and Vondrak, and Buchbinder et al. which have the currently best known approximation ratios for this problem.","lang":"eng"}],"oa_version":"None","scopus_import":"1","quality_controlled":"1","alternative_title":["LNCS"],"publisher":"Springer Nature","month":"01","intvolume":" 12601","date_updated":"2023-10-10T09:29:08Z","citation":{"apa":"Bloch-Hansen, A., Samei, N., & Solis-Oba, R. (2021). Experimental evaluation of a local search approximation algorithm for the multiway cut problem. In Conference on Algorithms and Discrete Applied Mathematics (Vol. 12601, pp. 346–358). Rupnagar, India: Springer Nature. https://doi.org/10.1007/978-3-030-67899-9_28","ama":"Bloch-Hansen A, Samei N, Solis-Oba R. Experimental evaluation of a local search approximation algorithm for the multiway cut problem. In: Conference on Algorithms and Discrete Applied Mathematics. Vol 12601. Springer Nature; 2021:346-358. doi:10.1007/978-3-030-67899-9_28","short":"A. Bloch-Hansen, N. Samei, R. Solis-Oba, in:, Conference on Algorithms and Discrete Applied Mathematics, Springer Nature, 2021, pp. 346–358.","ieee":"A. Bloch-Hansen, N. Samei, and R. Solis-Oba, “Experimental evaluation of a local search approximation algorithm for the multiway cut problem,” in Conference on Algorithms and Discrete Applied Mathematics, Rupnagar, India, 2021, vol. 12601, pp. 346–358.","mla":"Bloch-Hansen, Andrew, et al. “Experimental Evaluation of a Local Search Approximation Algorithm for the Multiway Cut Problem.” Conference on Algorithms and Discrete Applied Mathematics, vol. 12601, Springer Nature, 2021, pp. 346–58, doi:10.1007/978-3-030-67899-9_28.","ista":"Bloch-Hansen A, Samei N, Solis-Oba R. 2021. Experimental evaluation of a local search approximation algorithm for the multiway cut problem. Conference on Algorithms and Discrete Applied Mathematics. CALDAM: Conference on Algorithms and Discrete Applied Mathematics, LNCS, vol. 12601, 346–358.","chicago":"Bloch-Hansen, Andrew, Nasim Samei, and Roberto Solis-Oba. “Experimental Evaluation of a Local Search Approximation Algorithm for the Multiway Cut Problem.” In Conference on Algorithms and Discrete Applied Mathematics, 12601:346–58. Springer Nature, 2021. https://doi.org/10.1007/978-3-030-67899-9_28."},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","author":[{"last_name":"Bloch-Hansen","full_name":"Bloch-Hansen, Andrew","first_name":"Andrew"},{"full_name":"Samei, Nasim","last_name":"Samei","id":"C1531CAE-36E9-11EA-845F-33AA3DDC885E","first_name":"Nasim"},{"first_name":"Roberto","last_name":"Solis-Oba","full_name":"Solis-Oba, Roberto"}],"article_processing_charge":"No","title":"Experimental evaluation of a local search approximation algorithm for the multiway cut problem","department":[{"_id":"VlKo"}],"_id":"9227","type":"conference","conference":{"name":"CALDAM: Conference on Algorithms and Discrete Applied Mathematics","start_date":"2021-02-11","location":"Rupnagar, India","end_date":"2021-02-13"},"status":"public"},{"_id":"8817","type":"journal_article","article_type":"original","status":"public","date_updated":"2023-10-10T09:30:23Z","department":[{"_id":"VlKo"}],"abstract":[{"text":"The paper introduces an inertial extragradient subgradient method with self-adaptive step sizes for solving equilibrium problems in real Hilbert spaces. Weak convergence of the proposed method is obtained under the condition that the bifunction is pseudomonotone and Lipchitz continuous. Linear convergence is also given when the bifunction is strongly pseudomonotone and Lipchitz continuous. Numerical implementations and comparisons with other related inertial methods are given using test problems including a real-world application to Nash–Cournot oligopolistic electricity market equilibrium model.","lang":"eng"}],"oa_version":"None","scopus_import":"1","month":"04","intvolume":" 93","publication_identifier":{"eissn":["1432-5217"],"issn":["1432-2994"]},"publication_status":"published","language":[{"iso":"eng"}],"volume":93,"issue":"2","ec_funded":1,"project":[{"grant_number":"616160","name":"Discrete Optimization in Computer Vision: Theory and Practice","call_identifier":"FP7","_id":"25FBA906-B435-11E9-9278-68D0E5697425"}],"citation":{"ista":"Shehu Y, Iyiola OS, Thong DV, Van NTC. 2021. An inertial subgradient extragradient algorithm extended to pseudomonotone equilibrium problems. Mathematical Methods of Operations Research. 93(2), 213–242.","chicago":"Shehu, Yekini, Olaniyi S. Iyiola, Duong Viet Thong, and Nguyen Thi Cam Van. “An Inertial Subgradient Extragradient Algorithm Extended to Pseudomonotone Equilibrium Problems.” Mathematical Methods of Operations Research. Springer Nature, 2021. https://doi.org/10.1007/s00186-020-00730-w.","apa":"Shehu, Y., Iyiola, O. S., Thong, D. V., & Van, N. T. C. (2021). An inertial subgradient extragradient algorithm extended to pseudomonotone equilibrium problems. Mathematical Methods of Operations Research. Springer Nature. https://doi.org/10.1007/s00186-020-00730-w","ama":"Shehu Y, Iyiola OS, Thong DV, Van NTC. An inertial subgradient extragradient algorithm extended to pseudomonotone equilibrium problems. Mathematical Methods of Operations Research. 2021;93(2):213-242. doi:10.1007/s00186-020-00730-w","ieee":"Y. Shehu, O. S. Iyiola, D. V. Thong, and N. T. C. Van, “An inertial subgradient extragradient algorithm extended to pseudomonotone equilibrium problems,” Mathematical Methods of Operations Research, vol. 93, no. 2. Springer Nature, pp. 213–242, 2021.","short":"Y. Shehu, O.S. Iyiola, D.V. Thong, N.T.C. Van, Mathematical Methods of Operations Research 93 (2021) 213–242.","mla":"Shehu, Yekini, et al. “An Inertial Subgradient Extragradient Algorithm Extended to Pseudomonotone Equilibrium Problems.” Mathematical Methods of Operations Research, vol. 93, no. 2, Springer Nature, 2021, pp. 213–42, doi:10.1007/s00186-020-00730-w."},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","author":[{"last_name":"Shehu","full_name":"Shehu, Yekini","orcid":"0000-0001-9224-7139","id":"3FC7CB58-F248-11E8-B48F-1D18A9856A87","first_name":"Yekini"},{"first_name":"Olaniyi S.","last_name":"Iyiola","full_name":"Iyiola, Olaniyi S."},{"first_name":"Duong Viet","full_name":"Thong, Duong Viet","last_name":"Thong"},{"last_name":"Van","full_name":"Van, Nguyen Thi Cam","first_name":"Nguyen Thi Cam"}],"external_id":{"isi":["000590497300001"]},"article_processing_charge":"No","title":"An inertial subgradient extragradient algorithm extended to pseudomonotone equilibrium problems","acknowledgement":"The authors are grateful to the two referees and the Associate Editor for their comments and suggestions which have improved the earlier version of the paper greatly. The project of Yekini Shehu has received funding from the European Research Council (ERC) under the European Union’s Seventh Framework Program (FP7 - 2007-2013) (Grant agreement No. 616160).","quality_controlled":"1","publisher":"Springer Nature","isi":1,"year":"2021","day":"01","publication":"Mathematical Methods of Operations Research","page":"213-242","date_published":"2021-04-01T00:00:00Z","doi":"10.1007/s00186-020-00730-w","date_created":"2020-11-29T23:01:18Z"},{"language":[{"iso":"eng"}],"publication_status":"published","publication_identifier":{"issn":["1422-6383"],"eissn":["1420-9012"]},"issue":"2","volume":76,"oa_version":"None","abstract":[{"text":"We consider inertial iteration methods for Fermat–Weber location problem and primal–dual three-operator splitting in real Hilbert spaces. To do these, we first obtain weak convergence analysis and nonasymptotic O(1/n) convergence rate of the inertial Krasnoselskii–Mann iteration for fixed point of nonexpansive operators in infinite dimensional real Hilbert spaces under some seemingly easy to implement conditions on the iterative parameters. One of our contributions is that the convergence analysis and rate of convergence results are obtained using conditions which appear not complicated and restrictive as assumed in other previous related results in the literature. We then show that Fermat–Weber location problem and primal–dual three-operator splitting are special cases of fixed point problem of nonexpansive mapping and consequently obtain the convergence analysis of inertial iteration methods for Fermat–Weber location problem and primal–dual three-operator splitting in real Hilbert spaces. Some numerical implementations are drawn from primal–dual three-operator splitting to support the theoretical analysis.","lang":"eng"}],"intvolume":" 76","month":"03","scopus_import":"1","date_updated":"2023-10-10T09:47:33Z","department":[{"_id":"VlKo"}],"_id":"9315","status":"public","article_type":"original","type":"journal_article","publication":"Results in Mathematics","day":"25","year":"2021","isi":1,"date_created":"2021-04-11T22:01:14Z","date_published":"2021-03-25T00:00:00Z","doi":"10.1007/s00025-021-01381-x","acknowledgement":"The research of this author is supported by the Postdoctoral Fellowship from Institute of Science and Technology (IST), Austria.","publisher":"Springer Nature","quality_controlled":"1","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","citation":{"ista":"Iyiola OS, Shehu Y. 2021. New convergence results for inertial Krasnoselskii–Mann iterations in Hilbert spaces with applications. Results in Mathematics. 76(2), 75.","chicago":"Iyiola, Olaniyi S., and Yekini Shehu. “New Convergence Results for Inertial Krasnoselskii–Mann Iterations in Hilbert Spaces with Applications.” Results in Mathematics. Springer Nature, 2021. https://doi.org/10.1007/s00025-021-01381-x.","ieee":"O. S. Iyiola and Y. Shehu, “New convergence results for inertial Krasnoselskii–Mann iterations in Hilbert spaces with applications,” Results in Mathematics, vol. 76, no. 2. Springer Nature, 2021.","short":"O.S. Iyiola, Y. Shehu, Results in Mathematics 76 (2021).","apa":"Iyiola, O. S., & Shehu, Y. (2021). New convergence results for inertial Krasnoselskii–Mann iterations in Hilbert spaces with applications. Results in Mathematics. Springer Nature. https://doi.org/10.1007/s00025-021-01381-x","ama":"Iyiola OS, Shehu Y. New convergence results for inertial Krasnoselskii–Mann iterations in Hilbert spaces with applications. Results in Mathematics. 2021;76(2). doi:10.1007/s00025-021-01381-x","mla":"Iyiola, Olaniyi S., and Yekini Shehu. “New Convergence Results for Inertial Krasnoselskii–Mann Iterations in Hilbert Spaces with Applications.” Results in Mathematics, vol. 76, no. 2, 75, Springer Nature, 2021, doi:10.1007/s00025-021-01381-x."},"title":"New convergence results for inertial Krasnoselskii–Mann iterations in Hilbert spaces with applications","external_id":{"isi":["000632917700001"]},"article_processing_charge":"No","author":[{"first_name":"Olaniyi S.","last_name":"Iyiola","full_name":"Iyiola, Olaniyi S."},{"full_name":"Shehu, Yekini","orcid":"0000-0001-9224-7139","last_name":"Shehu","first_name":"Yekini","id":"3FC7CB58-F248-11E8-B48F-1D18A9856A87"}],"article_number":"75"},{"acknowledgement":"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).","publisher":"Taylor and Francis","quality_controlled":"1","publication":"Optimization","day":"14","year":"2021","isi":1,"date_created":"2021-05-02T22:01:29Z","doi":"10.1080/02331934.2021.1914035","date_published":"2021-04-14T00:00:00Z","project":[{"call_identifier":"FP7","_id":"25FBA906-B435-11E9-9278-68D0E5697425","grant_number":"616160","name":"Discrete Optimization in Computer Vision: Theory and Practice"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","citation":{"ista":"Ogbuisi FU, Shehu Y, Yao JC. 2021. Convergence analysis of new inertial method for the split common null point problem. Optimization.","chicago":"Ogbuisi, Ferdinard U., Yekini Shehu, and Jen Chih Yao. “Convergence Analysis of New Inertial Method for the Split Common Null Point Problem.” Optimization. Taylor and Francis, 2021. https://doi.org/10.1080/02331934.2021.1914035.","ama":"Ogbuisi FU, Shehu Y, Yao JC. Convergence analysis of new inertial method for the split common null point problem. Optimization. 2021. doi:10.1080/02331934.2021.1914035","apa":"Ogbuisi, F. U., Shehu, Y., & Yao, J. C. (2021). Convergence analysis of new inertial method for the split common null point problem. Optimization. Taylor and Francis. https://doi.org/10.1080/02331934.2021.1914035","ieee":"F. U. Ogbuisi, Y. Shehu, and J. C. Yao, “Convergence analysis of new inertial method for the split common null point problem,” Optimization. Taylor and Francis, 2021.","short":"F.U. Ogbuisi, Y. Shehu, J.C. Yao, Optimization (2021).","mla":"Ogbuisi, Ferdinard U., et al. “Convergence Analysis of New Inertial Method for the Split Common Null Point Problem.” Optimization, Taylor and Francis, 2021, doi:10.1080/02331934.2021.1914035."},"title":"Convergence analysis of new inertial method for the split common null point problem","article_processing_charge":"No","external_id":{"isi":["000640109300001"]},"author":[{"last_name":"Ogbuisi","full_name":"Ogbuisi, Ferdinard U.","first_name":"Ferdinard U."},{"last_name":"Shehu","orcid":"0000-0001-9224-7139","full_name":"Shehu, Yekini","id":"3FC7CB58-F248-11E8-B48F-1D18A9856A87","first_name":"Yekini"},{"last_name":"Yao","full_name":"Yao, Jen Chih","first_name":"Jen Chih"}],"oa_version":"None","abstract":[{"text":"In this paper, we propose a new iterative method with alternated inertial step for solving split common null point problem in real Hilbert spaces. We obtain weak convergence of the proposed iterative algorithm. Furthermore, we introduce the notion of bounded linear regularity property for the split common null point problem and obtain the linear convergence property for the new algorithm under some mild assumptions. Finally, we provide some numerical examples to demonstrate the performance and efficiency of the proposed method.","lang":"eng"}],"month":"04","scopus_import":"1","language":[{"iso":"eng"}],"publication_status":"published","publication_identifier":{"eissn":["1029-4945"],"issn":["0233-1934"]},"ec_funded":1,"_id":"9365","status":"public","article_type":"original","type":"journal_article","date_updated":"2023-10-10T09:48:41Z","department":[{"_id":"VlKo"}]}]