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Proximal point method for a special class of nonconvex multiobjective optimization functions

Proximal point method for a special class of nonconvex multiobjective optimization functions The proximal point method for a special class of nonconvex multiobjective functions is studied in this paper. We show that the method is well defined and that the accumulation points of any generated sequence, if any, are Pareto–Clarke critical points. Moreover, under additional assumptions, we show the full convergence of the generated sequence. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Optimization Letters Springer Journals

Proximal point method for a special class of nonconvex multiobjective optimization functions

Bento, G.; Ferreira, O.; Sousa Junior, V.
Optimization Letters , Volume 12 (2) – Feb 6, 2017
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References (22)

Publisher
Springer Journals
Copyright
Copyright © 2017 by Springer-Verlag Berlin Heidelberg
Subject
Mathematics; Optimization; Operations Research/Decision Theory; Computational Intelligence; Numerical and Computational Physics, Simulation
ISSN
1862-4472
eISSN
1862-4480
DOI
10.1007/s11590-017-1114-0
Publisher site
See Article on Publisher Site

Abstract

The proximal point method for a special class of nonconvex multiobjective functions is studied in this paper. We show that the method is well defined and that the accumulation points of any generated sequence, if any, are Pareto–Clarke critical points. Moreover, under additional assumptions, we show the full convergence of the generated sequence.

Journal

Optimization Letters – Springer Journals

Published: Feb 6, 2017

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