Weak sharp minima revisited, Part III: error bounds for differentiable convex inclusions |
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Authors: | James V Burke Sien Deng |
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Institution: | 1. Department of Mathematics, University of Washington, Box # 354350, Seattle, WA, 98195–4350, USA 2. Department of Mathematical Sciences, Northern Illinois University, DeKalb, IL, 60115, USA
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Abstract: | The notion of weak sharp minima unifies a number of important ideas in optimization. Part I of this work provides the foundation for the theory of weak sharp minima in the infinite-dimensional setting. Part II discusses applications of these results to linear regularity and error bounds for nondifferentiable convex inequalities. This work applies the results of Part I to error bounds for differentiable convex inclusions. A number of standard constraint qualifications for such inclusions are also examined. |
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