# Characterizations of error bounds for lower semicontinuous functions on metric spaces

Dominique Azé; Jean-Noël Corvellec

ESAIM: Control, Optimisation and Calculus of Variations (2010)

- Volume: 10, Issue: 3, page 409-425
- ISSN: 1292-8119

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topAzé, Dominique, and Corvellec, Jean-Noël. "Characterizations of error bounds for lower semicontinuous functions on metric spaces." ESAIM: Control, Optimisation and Calculus of Variations 10.3 (2010): 409-425. <http://eudml.org/doc/90736>.

@article{Azé2010,

abstract = {
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 of the local metric regularity
of closed-graph multifunctions between complete metric spaces.
},

author = {Azé, Dominique, Corvellec, Jean-Noël},

journal = {ESAIM: Control, Optimisation and Calculus of Variations},

keywords = {Error bounds; strong slope; variational principle; metric regularity.; error bounds; metric regularity},

language = {eng},

month = {3},

number = {3},

pages = {409-425},

publisher = {EDP Sciences},

title = {Characterizations of error bounds for lower semicontinuous functions on metric spaces},

url = {http://eudml.org/doc/90736},

volume = {10},

year = {2010},

}

TY - JOUR

AU - Azé, Dominique

AU - Corvellec, Jean-Noël

TI - Characterizations of error bounds for lower semicontinuous functions on metric spaces

JO - ESAIM: Control, Optimisation and Calculus of Variations

DA - 2010/3//

PB - EDP Sciences

VL - 10

IS - 3

SP - 409

EP - 425

AB -
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 of the local metric regularity
of closed-graph multifunctions between complete metric spaces.

LA - eng

KW - Error bounds; strong slope; variational principle; metric regularity.; error bounds; metric regularity

UR - http://eudml.org/doc/90736

ER -

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