Equivalent Optimization Formulations and Error Bounds for Variational Inequality Problems

L.R. Huang and K. F. Ng
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L.R. Huang: South China Normal University
K. F. Ng: Chinese University of Hong Kong

Journal of Optimization Theory and Applications, 2005, vol. 125, issue 2, No 3, 299-314

Abstract: Abstract We investigate whether some merit functions for variational inequality problems (VIP) provide error bounds for the underlying VIP. Under the condition that the involved mapping F is strongly monotone, but not necessarily Lipschitz continuous, we prove that the so-called regularized gap function provides an error bound for the underlying VIP. We give also an example showing that the so-called D-gap function might not provide error bounds for a strongly monotone VIP.

Keywords: Variational inequality problems; descent methods; optimization problems; error bounds (search for similar items in EconPapers)
Date: 2005
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Citations: View citations in EconPapers (4)

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DOI: 10.1007/s10957-004-1839-7

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