A scalarization proximal point method for quasiconvex multiobjective minimization

H. C.F. Apolinário, E. A. Papa Quiroz, P. R. Oliveira

Resultado de la investigación: Contribución a una revistaArtículorevisión exhaustiva

15 Citas (Scopus)

Resumen

In this paper we propose a scalarization proximal point method to solve multiobjective unconstrained minimization problems with locally Lipschitz and quasiconvex vector functions. We prove, under natural assumptions, that the sequence generated by the method is well defined and converges globally to a Pareto-Clarke critical point. Our method may be seen as an extension, for nonconvex case, of the inexact proximal method for multiobjective convex minimization problems studied by Bonnel et al. (SIAM J Optim 15(4):953–970, 2005).

Idioma originalInglés
Páginas (desde-hasta)79-96
Número de páginas18
PublicaciónJournal of Global Optimization
Volumen64
N.º1
DOI
EstadoPublicada - 1 ene. 2016

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© 2015, Springer Science+Business Media New York.

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