Interval-Valued Optimization Problems Involving (α, ρ)-Right Upper-Dini-Derivative Functions

We consider an interval-valued multiobjective problem. Some necessary and sufficient optimality conditions for weak efficient solutions are established under new generalized convexities with the tool-right upper-Dini-derivative, which is an extension of directional derivative. Also some duality resu...

Descripción completa

Detalles Bibliográficos
Autor principal: Preda, Vasile
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3985297/
https://www.ncbi.nlm.nih.gov/pubmed/24982989
http://dx.doi.org/10.1155/2014/750910
_version_ 1782311551888261120
author Preda, Vasile
author_facet Preda, Vasile
author_sort Preda, Vasile
collection PubMed
description We consider an interval-valued multiobjective problem. Some necessary and sufficient optimality conditions for weak efficient solutions are established under new generalized convexities with the tool-right upper-Dini-derivative, which is an extension of directional derivative. Also some duality results are proved for Wolfe and Mond-Weir duals.
format Online
Article
Text
id pubmed-3985297
institution National Center for Biotechnology Information
language English
publishDate 2014
publisher Hindawi Publishing Corporation
record_format MEDLINE/PubMed
spelling pubmed-39852972014-06-30 Interval-Valued Optimization Problems Involving (α, ρ)-Right Upper-Dini-Derivative Functions Preda, Vasile ScientificWorldJournal Research Article We consider an interval-valued multiobjective problem. Some necessary and sufficient optimality conditions for weak efficient solutions are established under new generalized convexities with the tool-right upper-Dini-derivative, which is an extension of directional derivative. Also some duality results are proved for Wolfe and Mond-Weir duals. Hindawi Publishing Corporation 2014 2014-03-27 /pmc/articles/PMC3985297/ /pubmed/24982989 http://dx.doi.org/10.1155/2014/750910 Text en Copyright © 2014 Vasile Preda. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Preda, Vasile
Interval-Valued Optimization Problems Involving (α, ρ)-Right Upper-Dini-Derivative Functions
title Interval-Valued Optimization Problems Involving (α, ρ)-Right Upper-Dini-Derivative Functions
title_full Interval-Valued Optimization Problems Involving (α, ρ)-Right Upper-Dini-Derivative Functions
title_fullStr Interval-Valued Optimization Problems Involving (α, ρ)-Right Upper-Dini-Derivative Functions
title_full_unstemmed Interval-Valued Optimization Problems Involving (α, ρ)-Right Upper-Dini-Derivative Functions
title_short Interval-Valued Optimization Problems Involving (α, ρ)-Right Upper-Dini-Derivative Functions
title_sort interval-valued optimization problems involving (α, ρ)-right upper-dini-derivative functions
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3985297/
https://www.ncbi.nlm.nih.gov/pubmed/24982989
http://dx.doi.org/10.1155/2014/750910
work_keys_str_mv AT predavasile intervalvaluedoptimizationproblemsinvolvingarrightupperdiniderivativefunctions

Ejemplares similares