A scalarization proximal point method for quasiconvex multiobjective minimization

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

Research output: Contribution to journalArticlepeer-review

19 Scopus citations


© 2015, Springer Science+Business Media New York. 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).
Original languageAmerican English
Pages (from-to)79-96
Number of pages18
JournalJournal of Global Optimization
StatePublished - 1 Jan 2016


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