Outer approximation schemes for generalized semi-infinite variational inequality problems

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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