/

Default Site
  • Change Site
  • Default Site
  • Advanced Search
  • Expert Search
  • Sign In
    • Help
    • Search History
    • Clear Session
  • Browse
    • Entire Repository  
    • Recent Additions
    • Communities & Collections
    • By Title
    • By Creator
    • By Subject
    • By Type
    • Most Accessed Papers
    • Most Accessed Items
    • Most Accessed Authors
  • Quick Collection  
Sign In
  • Help
  • Search History
  • Clear Session

Showing items 1 - 2 of 2

Your selections:

  • 0906 Electrical and Electronic Engineering
  • 0101 Pure Mathematics
  • No Fulltext
Creator
1Cibulka, Radek 1Fabian, Marian 1Kruger, Alexander 1López, Marco 1Volle, Michel
Subject
1Closed-convexification 1Convex analysis 1Integration formulas 1Linear openness 1Metric semiregularity 1Open mapping theorem 1Set-valued perturbation 1ε-Subdifferential
Facets
Creator
1Cibulka, Radek 1Fabian, Marian 1Kruger, Alexander 1López, Marco 1Volle, Michel
Subject
1Closed-convexification 1Convex analysis 1Integration formulas 1Linear openness 1Metric semiregularity 1Open mapping theorem 1Set-valued perturbation 1ε-Subdifferential
  • Title
  • Creator
  • Date

Subdifferential of the closed convex hull of a function and integration with nonconvex data in general normed spaces

- López, Marco, Volle, Michel

  • Authors: López, Marco , Volle, Michel
  • Date: 2012
  • Type: Text , Journal article
  • Relation: Journal of Mathematical Analysis and Applications Vol. 390, no. 1 (2012), p. 307-312
  • Relation: http://purl.org/au-research/grants/arc/DP110102011
  • Full Text: false
  • Reviewed:
  • Description: In this paper we approach the study of the subdifferential of the closed convex hull of a function and the related integration problem without the usual assumption of epi-pointedness. The key tool is, as in Hiriart-Urruty et al. (2011) [7], the concept of ε-subdifferential. Some other assumptions which are standard in the literature are also removed.

On semiregularity of mappings

- Cibulka, Radek, Fabian, Marian, Kruger, Alexander

  • Authors: Cibulka, Radek , Fabian, Marian , Kruger, Alexander
  • Date: 2019
  • Type: Text , Journal article
  • Relation: Journal of Mathematical Analysis and Applications Vol. 473, no. 2 (2019), p. 811-836
  • Relation: http://purl.org/au-research/grants/arc/DP160100854
  • Full Text: false
  • Reviewed:
  • Description: There are two basic ways of weakening the definition of the well-known metric regularity property by fixing one of the points involved in the definition. The first resulting property is called metric subregularity and has attracted a lot of attention during the last decades. On the other hand, the latter property which we call semiregularity can be found under several names and the corresponding results are scattered in the literature. We provide a self-contained material gathering and extending the existing theory on the topic. We demonstrate a clear relationship with other regularity properties, for example, the equivalence with the so-called openness with a linear rate at the reference point is shown. In particular cases, we derive necessary and/or sufficient conditions of both primal and dual type. We illustrate the importance of semiregularity in the convergence analysis of an inexact Newton-type scheme for generalized equations with not necessarily differentiable single-valued part. © 2019 Elsevier Inc.

  • «
  • ‹
  • 1
  • ›
  • »
  • English (United States)
  • English (United States)
  • Privacy
  • Copyright
  • Contact
  • Federation Library
  • Federation ResearchOnline policy
  • About Vital

‹ › ×

    Clear Session

    Are you sure you would like to clear your session, including search history and login status?