About: Second-Order Optimality Conditions in Locally Lipschitz Inequality-Constrained Multiobjective Optimization

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About: Second-Order Optimality Conditions in Locally Lipschitz Inequality-Constrained Multiobjective Optimization Goto Sponge NotDistinct Permalink

An Entity of Type : schema:ScholarlyArticle, within Data Space : covidontheweb.inria.fr associated with source document(s)

Attributes	Values
type	Academic Article research paper schema:ScholarlyArticle
isDefinedBy	Covid-on-the-Web dataset
has title	Second-Order Optimality Conditions in Locally Lipschitz Inequality-Constrained Multiobjective Optimization
Creator	Constantin, Elena
Source	Medline; PMC
abstract	The main goal of this paper is to give some primal and dual Karush–Kuhn–Tucker second-order necessary conditions for the existence of a strict local Pareto minimum of order two for an inequality-constrained multiobjective optimization problem. Dual Karush–Kuhn–Tucker second-order sufficient conditions are provided too. We suppose that the objective function and the active inequality constraints are only locally Lipschitz in the primal necessary conditions and only strictly differentiable in sense of Clarke at the extremum point in the dual conditions. Examples illustrate the applicability of the obtained results.
has issue date	2020-06-24(xsd:dateTime)
bibo:doi	10.1007/s10957-020-01688-9
bibo:pmid	32836386
has license	no-cc
sha1sum (hex)	58d6666b8df3e232ff4310632ae80cc16391c90a
schema:url	https://doi.org/10.1007/s10957-020-01688-9
resource representing a document's title	Second-Order Optimality Conditions in Locally Lipschitz Inequality-Constrained Multiobjective Optimization
has PubMed Central identifier	PMC7312127
has PubMed identifier	32836386
schema:publication	J Optim Theory Appl
resource representing a document's body	covid:58d6666b8df3e232ff4310632ae80cc16391c90a#body_text
is schema:about of	named entity 'conditions' named entity 'The' named entity 'ACTIVE' named entity 'OBJECTIVE FUNCTION' named entity 'POINT' named entity 'PROVIDED' named entity 'Dual' named entity 'paper' named entity 'primal' named entity 'differentiable' named entity 'second-order' named entity 'extremum' named entity 'continuously differentiable' named entity 'sufficient conditions' named entity 'locally Lipschitz' named entity 'Fréchet differentiable' named entity 'Fréchet differentiable' named entity 'differentiable' named entity 'virus' named entity 'optimization problems' named entity '2.1' named entity 'linear program' named entity 'differentiable' named entity 'RNA' named entity 'sequence similarity' named entity 'sequence identity' named entity 'locally Lipschitz' named entity 'Lipschitz' named entity 'objective function' named entity 'second-order' named entity 'inequality constraint' named entity 'computational biology' named entity 'second-order' named entity 'second-order' named entity 'optimization problems' named entity 'local minimum' named entity 'sequence similarity' named entity 'objective functions' named entity 'second-order' named entity 'second-order' named entity 'Proposition 2' named entity 'second-order' named entity 'locally Lipschitz' named entity 'inequality constraint' named entity 'second-order' named entity 'second-order' named entity 'Sequence alignment' named entity 'directional derivative' named entity 'sufficient conditions' named entity 'differentiable' named entity 'optimal solution' named entity 'Pareto optimal' named entity 'aerosols' named entity 'objective function' named entity 'nonsmooth' named entity 'differentiable' named entity 'optimization problems' named entity 'locally Lipschitz' named entity 'Fréchet differentiability' named entity 'locally Lipschitz' named entity 'secondary structure' named entity 'Proposition 2' named entity 'gene prediction' named entity 'Pareto optimal' named entity 'inequality constraint' named entity 'vectors' named entity 'multiobjective optimization' named entity '4.3' named entity 'living cells' named entity 'open ball' named entity 'constraint qualification' named entity 'second-order' named entity 'local minimum' named entity 'differentiable' named entity 'locally Lipschitz' named entity 'Pareto optimal' named entity 'locally Lipschitz' named entity 'second-order' named entity 'normed space' named entity 'locally Lipschitz' named entity 'multiobjective optimization'

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