Quelques remarques sur le problème de Lagrange du calcul des variations
Characterizations of error bounds for lower semicontinuous functions on metric spaces
Refining the variational method introduced in Azé et al. [Nonlinear Anal. 49 (2002) 643-670], we give characterizations of the existence of so-called global and local error bounds, for lower semicontinuous functions defined on complete metric spaces. We thus provide a systematic and synthetic approach to the subject, emphasizing the special case of convex functions defined on arbitrary Banach spaces (refining the abstract part of Azé and Corvellec [SIAM J. Optim. 12 (2002) 913-927], and the characterization...
Characterizations of error bounds for lower semicontinuous functions on metric spaces
Refining the variational method introduced in Azé [. (2002) 643-670], we give characterizations of the existence of so-called global and local error bounds, for lower semicontinuous functions defined on complete metric spaces. We thus provide a systematic and synthetic approach to the subject, emphasizing the special case of convex functions defined on arbitrary Banach spaces (refining the abstract part of Azé and Corvellec [. (2002) 913-927], and the characterization of the local metric regularity of...
Subdifferential characterization of quasiconvexity and convexity.
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