A Nonlinear Extension of Hoffman's Error Bounds for Linear Inequalities

References

• Cornejo O., Jourani A., Zălinescu C. Conditioning and upper-Lipschitz inverse subdifferentials in non-smooth optimization problems. J. Optim. Theory Appl. (1997) 95:127–148Crossref, Google Scholar
• Deng S. Global error bounds for convex inequality systems in Banach spaces. SIAM J. Control Optim. (1998) 36:1240–1249Crossref, Google Scholar
• Hoffman A. J. On approximate solutions of systems of linear inequalities. J. Res. National Bureau Standards (1952) 49:263–265Crossref, Google Scholar
• Klatte D., Fiacco A. V. Hoffman's error bound for systems of convex inequalities. Mathematical Programming with Data Perturbations (1998) (Marcel Dekker, New York) 185–199Google Scholar
• Klatte D., Li W. Asymptotic constraint qualifications and global error bounds for convex inequalities. Math. Programming (1999) 84:137–160Crossref, Google Scholar
• Lemaire B. Bonne position, conditionnement et bon comportement asymptotique. Semin. Anal. Convexe, Univ. Sci. Tech. Languedoc (1992) . Expo. 5Google Scholar
• Lewis A. S., Pang J-S., Crouzeix J-P., Martinez-Legaz J-E., Volle M. Error bounds for convex inequality systems. Proc. of the 5th Internat. Sympos. on Generalized Convexity (1998) June 17–21, 1996Luminy, France(Kluwer, Dordrecht, The Netherlands) 75–110Crossref, Google Scholar
• Li W., Singer I. Global error bounds for convex multifunctions and applications. Math. Oper. Res. (1998) 23:443–462Link, Google Scholar
• Penot J-P. Conditioning convex and nonconvex problems. J. Optim. Theory Appl. (1996) 90:535–554Crossref, Google Scholar
• Robinson S. M. Regularity and stability for convex multivalued functions. Math. Oper. Res. (1976) 1:130–143Link, Google Scholar
• Ursescu C. Multifunctions with convex closed graph. Czechoslovak Math. J. (1975) 25(100):438–441Google Scholar