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SUMMARY:Marco A. López-Cerdá (University of Alicante)
DTSTART:20200624T070000Z
DTEND:20200624T080000Z
DTSTAMP:20260424T094735Z
UID:VAWebinar/3
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/VAWebinar/3/
 ">Optimality conditions in convex semi-infinite optimization. An approach 
 based on the subdifferential of the supremum function</a>\nby Marco A. Ló
 pez-Cerdá (University of Alicante) as part of Variational Analysis and Op
 timisation Webinar\n\n\nAbstract\nWe present a survey on optimality condit
 ions (of Fritz-John and KKT-type) for semi-infinite convex optimization pr
 oblems. The methodology is based on the use of the subdifferential of the 
 supremum of the infinite family of constraint functions. Our approach aims
  to establish weak constraint qualifications and\, in the last step\, to d
 ropp out the usual continuity/closedness assumptions which are standard in
  the literature. The material in this survey is extracted  from the follow
 ing papers:\n\nR. Correa\, A. Hantoute\, M. A. López\, Weaker conditions 
 for subdifferential calculus of convex functions. J. Funct. Anal. 271 (201
 6)\, 1177-1212.\n\nR. Correa\, A. Hantoute\, M. A. López\, Moreau-Rockafe
 llar type formulas for the subdifferential of the supremum function. SIAM 
 J. Optim. 29 (2019)\, 1106-1130.\n\nR. Correa\, A. Hantoute\, M. A. López
 \, Valadier-like formulas for the supremum function II: the compactly inde
 xed case. J. Convex Anal. 26 (2019)\, 299-324.\n\nR. Correa\, A. Hantoute\
 , M. A. López\, Subdifferential of the supremum via compactification of t
 he index set. To appear in Vietnam J. Math. (2020).\n
LOCATION:https://researchseminars.org/talk/VAWebinar/3/
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