Applications of the Fréchet subdifferential

Durea, M.. "Applications of the Fréchet subdifferential." Serdica Mathematical Journal 29.4 (2003): 301-314. <http://eudml.org/doc/219604>.

@article{Durea2003,
abstract = {2000 Mathematics Subject Classification: 46A30, 54C60, 90C26.In this paper we prove two results of nonsmooth analysis involving the Fréchet subdifferential. One of these results provides a necessary optimality condition for an optimization problem which arise naturally from a class of wide studied problems. In the second result we establish a sufficient condition for the metric regularity of a set-valued map without continuity assumptions.},
author = {Durea, M.},
journal = {Serdica Mathematical Journal},
keywords = {Fréchet Subdifferentials; Multifunctions; Optimization; Metric Regularity; Fréchet subdifferential; optimization; metric regularity},
language = {eng},
number = {4},
pages = {301-314},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Applications of the Fréchet subdifferential},
url = {http://eudml.org/doc/219604},
volume = {29},
year = {2003},
}

TY - JOUR
AU - Durea, M.
TI - Applications of the Fréchet subdifferential
JO - Serdica Mathematical Journal
PY - 2003
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 29
IS - 4
SP - 301
EP - 314
AB - 2000 Mathematics Subject Classification: 46A30, 54C60, 90C26.In this paper we prove two results of nonsmooth analysis involving the Fréchet subdifferential. One of these results provides a necessary optimality condition for an optimization problem which arise naturally from a class of wide studied problems. In the second result we establish a sufficient condition for the metric regularity of a set-valued map without continuity assumptions.
LA - eng
KW - Fréchet Subdifferentials; Multifunctions; Optimization; Metric Regularity; Fréchet subdifferential; optimization; metric regularity
UR - http://eudml.org/doc/219604
ER -