Geometric Condition Measures and Smoothness Condition Measures for Closed Convex Sets and Linear Regularity of Infinitely Many Closed Convex Sets

H. Hu
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H. Hu: Northern Illinois University

Journal of Optimization Theory and Applications, 2005, vol. 126, issue 2, No 4, 287-308

Abstract: Abstract In this paper, we study geometric condition measures and smoothness condition measures of closed convex sets, bounded linear regularity, and linear regularity. We show that, under certain conditions, the constant for the linear regularity of infinitely many closed convex sets can be characterized by the geometric condition measure of the intersection or by the smoothness condition measure of the intersection. We study also the bounded linear regularity and present some interesting properties of the general linear regularity problem.

Keywords: Convex sets; condition measures; linear regularity; bounded global error bounds; infinite system of linear inequalities (search for similar items in EconPapers)
Date: 2005
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DOI: 10.1007/s10957-005-4715-1

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