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All issues Volume 16 / No 3 (July-September 2010) ESAIM: COCV, 16 3 (2010) 601-617 References
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Issue
ESAIM: COCV
Volume 16, Number 3, July-September 2010
Page(s) 601 - 617
DOI https://doi.org/10.1051/cocv/2009012
Published online 18 June 2009
  1. J.F. Bonnans and A. Shapiro, Perturbation Analysis of Optimization Problems. Springer, New York (2000). [Google Scholar]
  2. J.V. Burke and S. Deng, Weak sharp minima revisited, Part I: Basic theory. Control Cybern. 31 (2002) 399–469. [Google Scholar]
  3. J.V. Burke and S. Deng, Weak sharp minima revisited, Part III: Error bounds for differentiable convex inclusions. Math. Program. 116 (2009) 37–56. [CrossRef] [MathSciNet] [Google Scholar]
  4. P.L. Combettes, Strong convergence of block-iterative outer approximation methods for convex optimzation. SIAM J. Control Optim. 38 (2000) 538–565. [CrossRef] [MathSciNet] [Google Scholar]
  5. A.L. Dontchev and R.T. Rockafellar, Regularity and conditioning of solution mappings in variational analysis. Set-Valued Anal. 12 (2004) 79–109. [CrossRef] [MathSciNet] [Google Scholar]
  6. A.L. Dontchev, A.S. Lewis and R.T. Rockafellar, The radius of metric regularity. Trans. Amer. Math. Soc. 355 (2003) 493–517. [CrossRef] [MathSciNet] [Google Scholar]
  7. R. Henrion and A. Jourani, Subdifferential conditions for calmness of convex constraints. SIAM J. Optim. 13 (2002) 520–534. [CrossRef] [MathSciNet] [Google Scholar]
  8. R. Henrion and J. Outrata, Calmness of constraint systems with applications. Math. Program. 104 (2005) 437–464. [CrossRef] [MathSciNet] [Google Scholar]
  9. R. Henrion, A. Jourani and J. Outrata, On the calmness of a class of multifunctions. SIAM J. Optim. 13 (2002) 603–618. [CrossRef] [MathSciNet] [Google Scholar]
  10. H. Hu, Characterizations of the strong basic constraint qualification. Math. Oper. Res. 30 (2005) 956–965. [CrossRef] [MathSciNet] [Google Scholar]
  11. H. Hu, Characterizations of local and global error bounds for convex inequalities in Banach spaces. SIAM J. Optim. 18 (2007) 309–321. [CrossRef] [MathSciNet] [Google Scholar]
  12. A.D. Ioffe, Metric regularity and subdifferential calculus. Russian Math. Surveys 55 (2000) 501–558. [Google Scholar]
  13. D. Klatte and B. Kummer, Nonsmooth Equations in Optimization, Regularity, Calculus, Methods and Applications; Nonconvex Optimization and its Application 60. Kluwer Academic Publishers, Dordrecht (2002). [Google Scholar]
  14. A. Lewis and J.S. Pang, Error bounds for convex inequality systems, in Generalized Convexity, Generalized Monotonicity: Recent Results, Proceedings of the Fifth Symposium on Generalized Convexity, Luminy, June 1996, J.-P. Crouzeix, J.-E. Martinez-Legaz and M. Volle Eds., Kluwer Academic Publishers, Dordrecht (1997) 75–100. [Google Scholar]
  15. W. Li, Abadie's constraint qualification, metric regularity, and error bounds for differentiable convex inequalities. SIAM J. Optim. 7 (1997) 966–978. [CrossRef] [MathSciNet] [Google Scholar]
  16. W. Li and I. Singer, Global error bounds for convex multifunctions and applications. Math. Oper. Res. 23 (1998) 443–462. [CrossRef] [MathSciNet] [Google Scholar]
  17. B.S. Mordukhovich, Complete characterization of openness, metric regularity, and Lipschitzian properties of multifunctions. Trans. Amer. Math. Soc. 340 (1993) 1–35. [CrossRef] [MathSciNet] [Google Scholar]
  18. K.F. Ng and X.Y. Zheng, Error bound for lower semicontinuous functions in normed spaces. SIAM J. Optim. 12 (2001) 1–17. [CrossRef] [MathSciNet] [Google Scholar]
  19. S.M. Robinson, Regularity and stability for convex multivalued fucntions. Math. Oper. Res. 1 (1976) 130–143. [CrossRef] [MathSciNet] [Google Scholar]
  20. C. Zalinescu, Weak sharp minima, well-behaving functions and global error bounds for convex inequalities in Banach spaces, in Proc. 12th Baical Internat. Conf. on Optimization Methods and their applications, Irkutsk, Russia (2001) 272–284. [Google Scholar]
  21. C. Zalinescu,Convex Analysis in General Vector Spaces. World Scientific, Singapore (2002). [Google Scholar]
  22. C. Zalinescu, A nonlinear extension of Hoffman's error bounds for linear inequalities. Math. Oper. Res. 28 (2003) 524–532. [CrossRef] [MathSciNet] [Google Scholar]
  23. X.Y. Zheng and K.F. Ng, Metric regularity and constraint qualifications for convex inequalities on Banach spaces. SIAM J. Optim. 14 (2003) 757–772. [CrossRef] [MathSciNet] [Google Scholar]
  24. X.Y. Zheng and K.F. Ng, Metric subregularity and constraint qualifications for convex generalized equations in Banach spaces. SIAM. J. Optim. 18 (2007) 437–460. [CrossRef] [MathSciNet] [Google Scholar]
  25. X.Y. Zheng and K.F. Ng, Linear regularity for a collection of subsmooth sets in Banach spaces. SIAM J. Optim. 19 (2008) 62–76. [CrossRef] [MathSciNet] [Google Scholar]

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