Please use this identifier to cite or link to this item:
http://hdl.handle.net/10397/78366
| Title: | Affine variational inequalities on normed spaces | Authors: | Yen, N Yang, X |
Issue Date: | Jul-2018 | Source: | Journal of optimization theory and applications, July 2018, v. 178, no. 1, p. 36-55 | Abstract: | This paper studies infinite-dimensional affine variational inequalities on normed spaces. It is shown that infinite-dimensional quadratic programming problems and infinite-dimensional linear fractional vector optimization problems can be studied by using affine variational inequalities. We present two basic facts about infinite-dimensional affine variational inequalities: the Lagrange multiplier rule and the solution set decomposition. | Keywords: | Infinite-dimensional affine variational inequality Infinite-dimensional quadratic programming Infinite-dimensional linear fractional vector optimization Generalized polyhedral convex set Solution set |
Publisher: | Springer | Journal: | Journal of optimization theory and applications | ISSN: | 0022-3239 | EISSN: | 1573-2878 | DOI: | 10.1007/s10957-018-1296-3 | Rights: | © Springer Science+Business Media, LLC, part of Springer Nature 2018 This version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use (https://www.springernature.com/gp/open-research/policies/accepted-manuscript-terms), but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: http://dx.doi.org/10.1007/s10957-018-1296-3 |
| Appears in Collections: | Journal/Magazine Article |
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| File | Description | Size | Format | |
|---|---|---|---|---|
| Yang_Affine_Variational_Inequalities.pdf | Pre-Published version | 713.69 kB | Adobe PDF | View/Open |
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