Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 0977.90054
Li, Wu; Singer, Ivan
Global error bounds for convex multifunctions and applications. (English)
[J] Math. Oper. Res. 23, No.2, 443-462 (1998). ISSN 1526-5471; ISSN 0364-765X/e

Summary: We give some results on the existence of global error bounds for convex multifunctions between normed linear spaces (until the present, only some results on local error bounds have been known in this general setting). As applications we abtain, among others, improvements of a theorem of Robinson on global error bounds for convex inequalities, of a result of Luo and Tseng on uniform boundedness of the Hoffman constants for linear inequalities and equalities, and of Lotov's result on pointwise Lipschitz continuity of the solution sets of linear inequalities, with respect to data perturbations.

MSC 2000:: *90C31 Sensitivity, etc.
49J52 Nonsmooth analysis (other weak concepts of optimality)
49K40 Sensitivity of optimal solutions in the presence of perturbations

Keywords: local and global error bounds; convex multifunctions; metric regularity; $\Omega$-convex inequalities; linear inequalities and equalities

Cited in: Zbl 1129.90357 Zbl 1082.90119

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]