Characterizations of Error Bounds for Convex Multifunctions on Banach Spaces
Published Online:1 Feb 2004https://doi.org/10.1287/moor.1030.0078
References
- Set-Valued Analysis (1990) (Birkhauser, Boston, MA) Google Scholar
- Optimization and Nonsmooth Analysis (1989) (CRM, Montreal, Canada) Google Scholar
- Remarks to an equivalent formulation of Ekeland's variational principle. Optimization (1994) 31:233–238Crossref, Google Scholar
- Geometric Functional Analysis and Its Applications (1975) (Springer-Verlag, Berlin, Germany) Crossref, Google Scholar
- Asymptotic constraint qualification and global error bounds for convex inequalities. Math. Programming (1999) 84:137–160Crossref, Google Scholar
- , Crouzeix J-P., Martinez-Legaz J-E., Volle M. Error bounds for convex inequality systems. Generalized Convexity, Generalized Monotonicity: Recent Results: Proc. Fifth Sympos. on Generalized Convexity (1997) (Kluwer Academic Publishers, Dordrecht, The Netherlands) 75–110Google Scholar
- Global error bounds for convex muiltifunctions and applications. Math. Oper. Res. (1998) 23:443–462Link, Google Scholar
- Error bound of abstract linear inequality system. SIAM J. Optim. (2002) 13:24–43Crossref, Google Scholar
- Error bounds for lower continuous functions in normed spaces. SIAM J. Optim. (2001a) 12:1–17Crossref, Google Scholar
- Global weak sharp minima on Banach spaces. SIAM J. Control Optim. (2001b) 41:1868–1885Crossref, Google Scholar
- Error bounds in mathematical programming. Math. Programming Ser. B (1997) 79:299–332Crossref, Google Scholar
- Regularity and stability for convex multivalued functions. Math. Oper. Res. (1976) 1:130–143Link, Google Scholar
- Weak sharp minima, well-behaving functions and global error bounds for convex inequalities in Banach spaces. Proc. 12th Baikal Internat. Conf. on Optim. Methods and Their Applications (2001) (Irkutsk, Russia) 272–284Google Scholar
- A nonlinear extension of Hoffman's error bounds for linear inequalities. Math. Oper. Res. (2003) 28:524–532Link, Google Scholar
- Error bounds for set inclusions. Sci. China. Ser. A (2003) 46:750–763Crossref, Google Scholar

