LE QUY DON
Technical University
VietnameseClear Cookie - decide language by browser settings

On penalty and gap function methods for bilevel equilibrium problems

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

Text
On penalty and gap function methods for bilevel equilibrium problems.pdf

Download (275kB) | Preview

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
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

Actions (login required)

View Item
View Item