CMS/SMC
Canadian Mathematical Society
www.cms.math.ca
Canadian Mathematical Society
  location:  PublicationsjournalsCJM
Abstract view

Convergence of Subdifferentials of Convexly Composite Functions

  Published:1999-04-01
 Printed: Apr 1999
  • C. Combari
  • R. Poliquin
  • L. Thibault
Features coming soon:
Citations   (via CrossRef) Tools: Search Google Scholar:
Format:   HTML   LaTeX   MathJax   PDF   PostScript  

Abstract

In this paper we establish conditions that guarantee, in the setting of a general Banach space, the Painlev\'e-Kuratowski convergence of the graphs of the subdifferentials of convexly composite functions. We also provide applications to the convergence of multipliers of families of constrained optimization problems and to the generalized second-order derivability of convexly composite functions.
Keywords: epi-convergence, Mosco convergence, Painlevé-Kuratowski convergence, primal-lower-nice functions, constraint qualification, slice convergence, graph convergence of subdifferentials, convexly composite functions epi-convergence, Mosco convergence, Painlevé-Kuratowski convergence, primal-lower-nice functions, constraint qualification, slice convergence, graph convergence of subdifferentials, convexly composite functions
MSC Classifications: 49A52, 58C06, 58C20, 90C30 show english descriptions unknown classification 49A52
Set valued and function-space valued mappings [See also 47H04, 54C60]
Differentiation theory (Gateaux, Frechet, etc.) [See also 26Exx, 46G05]
Nonlinear programming
49A52 - unknown classification 49A52
58C06 - Set valued and function-space valued mappings [See also 47H04, 54C60]
58C20 - Differentiation theory (Gateaux, Frechet, etc.) [See also 26Exx, 46G05]
90C30 - Nonlinear programming
 

© Canadian Mathematical Society, 2014 : https://cms.math.ca/