Abstract
We study mathematical programming problems with vanishing constraints (MPVC) from the topological point of view. The critical point theory for MPVCs is presented. For that, we introduce the notion of a T-stationary point for the MPVC.
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Keywords
- Critical Point Theory
- Mathematical Programming Problem
- Local Argument
- Topological Point
- Lipschitz Manifold
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© 2012 Springer Science+Business Media, LLC
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Shikhman, V. (2012). Mathematical Programming Problems with Vanishing Constraints. In: Topological Aspects of Nonsmooth Optimization. Springer Optimization and Its Applications(), vol 64. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-1897-9_4
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DOI: https://doi.org/10.1007/978-1-4614-1897-9_4
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Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4614-1896-2
Online ISBN: 978-1-4614-1897-9
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