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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...

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Detalles Bibliográficos
Autor principal: Preda, Vasile
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
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
Descripción
Sumario: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.