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 |