Triple-adaptive subgradient extragradient with extrapolation procedure for bilevel split variational inequality

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dc.contributor.author Ceng, Lu-Chuan
dc.contributor.author Ghosh, Debdas
dc.contributor.author Shehu, Yekini
dc.contributor.author Yao, Jen-Chih
dc.date.accessioned 2024-02-13T11:16:46Z
dc.date.available 2024-02-13T11:16:46Z
dc.date.issued 2023-01-26
dc.identifier.issn 10255834
dc.identifier.uri http://localhost:8080/xmlui/handle/123456789/2898
dc.description This paper published with affiliation IIT (BHU), Varanasi in Open Access Mode. en_US
dc.description.abstract This paper introduces a triple-adaptive subgradient extragradient process with extrapolation to solve a bilevel split pseudomonotone variational inequality problem (BSPVIP) with the common fixed point problem constraint of finitely many nonexpansive mappings. The problem under consideration is in real Hilbert spaces, where the BSPVIP involves a fixed point problem of demimetric mapping. The proposed rule exploits the strong monotonicity of one operator at the upper level and the pseudomonotonicity of another mapping at the lower level. The strong convergence result for the proposed algorithm is established under some suitable assumptions. In addition, a numerical example is given to demonstrate the viability of the proposed rule. Our results improve and extend some recent developments to a great extent. en_US
dc.description.sponsorship Lu-Chuan Ceng was supported by the 2020 Shanghai Leading Talents Program of the Shanghai, Municipal Human Resources and Social Security Bureau (20LJ2006100), the Innovation Program of Shanghai Municipal Education Commission (15ZZ068), and the Program for Outstanding Academic Leaders in Shanghai City (15XD1503100). Jen-Chih Yao was partially supported by the grant MOST 111-2115-M-039-001-MY2 to carry out this research work. en_US
dc.language.iso en en_US
dc.publisher Institute for Ionics en_US
dc.relation.ispartofseries Journal of Inequalities and Applications;2023
dc.subject Bilevel split pseudomonotone variational inequality problem en_US
dc.subject Demimetric mapping en_US
dc.subject Extrapolation step en_US
dc.subject Fixed point en_US
dc.subject Nonexpansive mapping en_US
dc.subject Subgradient extragradient process en_US
dc.title Triple-adaptive subgradient extragradient with extrapolation procedure for bilevel split variational inequality en_US
dc.type Article en_US


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