Search Results - Directional limiting coderivative
Search alternatives:
- Directional limiting coderivative »
-
1
On the Aubin property of solution maps to parameterized variational systems with implicit constraints
ISSN: 0233-1934, 1029-4945Published: Philadelphia Taylor & Francis 02.08.2020Published in Optimization (02.08.2020)“… of implicitly defined multifunctions which employs the recently introduced notion of the directional limiting coderivative…”
Get full text
Journal Article -
2
On the Aubin property of a class of parameterized variational systems
ISSN: 1432-2994, 1432-5217Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.12.2017Published in Mathematical methods of operations research (Heidelberg, Germany) (01.12.2017)“… The new condition requires computation of directional limiting coderivatives of the normal-cone mapping for the so-called critical directions…”
Get full text
Journal Article -
3
Calculus for Directional Limiting Normal Cones and Subdifferentials
ISSN: 1877-0533, 1877-0541Published: Dordrecht Springer Netherlands 15.09.2019Published in Set-valued and variational analysis (15.09.2019)“…The paper is devoted to the development of a comprehensive calculus for directional limiting normal cones, subdifferentials and coderivatives in finite dimensions…”
Get full text
Journal Article -
4
On the directional asymptotic approach in optimization theory
ISSN: 0025-5610, 1436-4646Published: Netherlands Springer Berlin Heidelberg 01.01.2025Published in Mathematical programming (01.01.2025)“… qualification not stronger than directional metric subregularity, we end up with new necessary optimality conditions comprising a mixture of limiting…”
Get full text
Journal Article -
5
On Lipschitzian properties of implicit multifunctions
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 24.11.2016Published in arXiv.org (24.11.2016)“… As the basic tool one employs the directional limiting coderivative which, together with the graphical derivative, enable us a fine analysis of the local behavior of the investigated multifunction…”
Get full text
Paper -
6
Metric Regularity Relative to a Cone
ISSN: 2305-221X, 2305-2228Published: Singapore Springer Singapore 15.09.2019Published in Vietnam journal of mathematics (15.09.2019)“… For example, we establish a slope and some coderivative characterizations of this concept, as well as some stability results with respect to a Lipschitz perturbation…”
Get full text
Journal Article -
7
Directionally generalized differentiation for multifunctions and applications to set-valued programming problems
ISSN: 0254-5330, 1572-9338Published: New York Springer US 01.10.2018Published in Annals of operations research (01.10.2018)“…The aim of this work is twofold. First, we establish sum rules for the directionally coderivatives of multifunctions and intersection rules for the directionally limiting normal cones…”
Get full text
Journal Article -
8
Lipschitz-like property relative to a set and the generalized Mordukhovich criterion
ISSN: 0025-5610, 1436-4646Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.09.2021Published in Mathematical programming (01.09.2021)“… regular normal cone and limiting normal cone of a restricted graph of the set-valued mapping…”
Get full text
Journal Article -
9
Strict Efficiency in Set Optimization Studied with the Set Approach
ISSN: 0022-3239, 1573-2878Published: New York Springer US 01.05.2025Published in Journal of optimization theory and applications (01.05.2025)“… In particular, we establish some conditions expressed in terms of a high-order directional derivative of set-valued maps and the (convex or limiting…”
Get full text
Journal Article -
10
Calculus for directional limiting normal cones and subdifferentials
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 13.12.2017Published in arXiv.org (13.12.2017)“…The paper is devoted to the development of a comprehensive calculus for directional limiting normal cones, subdifferentials and coderivatives in finite dimensions…”
Get full text
Paper -
11
On the directional asymptotic approach in optimization theory: The directional asymptotic approach
ISSN: 0025-5610, 1436-4646Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.01.2025Published in Mathematical programming (01.01.2025)“… not stronger than directional metric subregularity, we end up with new necessary optimality conditions comprising a mixture of limiting…”
Get full text
Journal Article -
12
On the Aubin property of solution maps to parameterized variational systems with implicit constraints
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 30.10.2018Published in arXiv.org (30.10.2018)“… of implicitly defined multifunctions which employs the recently introduced notion of the directional limiting coderivative…”
Get full text
Paper -
13
On the Aubin property of a class of parameterized variational systems
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 03.04.2017Published in arXiv.org (03.04.2017)“… The new criterion requires computation of directional limiting coderivatives of the normal-cone mapping for the so-called critical directions…”
Get full text
Paper -
14
On the directional asymptotic approach in optimization theory
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 26.02.2024Published in arXiv.org (26.02.2024)“… not stronger than directional metric subregularity, we end up with new necessary optimality conditions comprising a mixture of limiting…”
Get full text
Paper -
15
On the directional asymptotic approach in optimization theory Part A: approximate, M-, and mixed-order stationarity
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 09.02.2023Published in arXiv.org (09.02.2023)“… not stronger than directional metric subregularity, we end up with new necessary optimality conditions comprising a mixture of limiting…”
Get full text
Paper