Characterizing efficiency without linear structure: a unified approach |
| |
Authors: | Fabián Flores-Bazán Elvira Hernández Vicente Novo |
| |
Institution: | (1) Departamento de Ingeniería Matemática, Universidad de Concepción, Casilla 160-C, Concepción, Chile;(2) Departamento de Matemática Aplicada, Universidad Nacional de Educación a Distancia, c/ Juan del Rosal, 12, 28040 Madrid, Spain |
| |
Abstract: | In this paper, we study a general optimization problem without linear structure under a reflexive and transitive relation
on a nonempty set E, and characterize the existence of efficient points and the domination property for a subset of E through a generalization of the order-completeness condition introduced earlier. Afterwards, we study the abstract optimization
problem by using generalized continuity concepts and establish various existence results. As an application, we extend and
improve several existence results given in the literature for an optimization problem involving set-valued maps under vector
and set criteria.
The work of the first author was partially supported by CONICYT-Chile through FONDECYT 107-0689 and FONDAP-Matemáticas Aplicadas
II; whereas that of the second and third author were supported in part by Ministerio de Educación y Ciencia (Spain), project
MTM2006-02629 and by Junta de Castilla y León (Spain) Project VA027B06. |
| |
Keywords: | Efficiency Vector optimization Set optimization Existence results Domination property |
本文献已被 SpringerLink 等数据库收录! |
|