Van Dinh, B. and Muu, L.D. (2011) On penalty and gap function methods for bilevel equilibrium problems. Journal of Applied Mathematics, 2011: 646452. ISSN 1110757X
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On penalty and gap function methods for bilevel equilibrium problems.pdf
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On penalty and gap function methods for bilevel equilibrium problems.pdf
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Official URL: https://www.scopus.com/inward/record.uri?eid=2-s2....
Abstract
We consider bilevel pseudomonotone equilibrium problems. We use a penalty function to convert a bilevel problem into one-level ones. We generalize a pseudo-∇-monotonicity concept from ∇-monotonicity and prove that under pseudo-∇-monotonicity property any stationary point of a regularized gap function is a solution of the penalized equilibrium problem. As an application, we discuss a special case that arises from the Tikhonov regularization method for pseudomonotone equilibrium problems. © Copyright 2011 Bui Van Dinh and Le Dung Muu.
Item Type: | Article |
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Divisions: | Faculties > Faculty of Information Technology |
Identification Number: | 10.1155/2011/646452 |
Additional Information: | Language of original document: English. All Open Access, Gold, Green. |
URI: | http://eprints.lqdtu.edu.vn/id/eprint/10140 |