- Title
- Outer approximation schemes for generalized semi-infinite variational inequality problems
- Creator
- Burachik, Regina; Lopes, J.
- Date
- 2010
- Type
- Text; Journal article
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/34333
- Identifier
- vital:3233
- Identifier
-
https://doi.org/10.1080/02331930801956552
- Identifier
- ISSN:0233-1934
- Abstract
- We introduce and analyse outer approximation schemes for solving variational inequality problems in which the constraint set is as in generalized semi-infinite programming. We call these problems generalized semi-infinite variational inequality problems. First, we establish convergence results of our method under standard boundedness assumptions. Second, we use suitable Tikhonov-like regularizations for establishing convergence in the unbounded case.
- Publisher
- Taylor & Francis
- Relation
- Optimization Vol. 59, no. 4 (2010), p. 601-617
- Rights
- Copyright Taylor & Francis
- Rights
- This metadata is freely available under a CCO license
- Subject
- 0103 Numerical and Computational Mathematics; 0102 Applied Mathematics; Variational inequalities; Maximal monotone operators; Banach spaces; Outer approximation algorithm; Generalized semi-infinite programs; Bregman functions; Coercive operators
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