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arXiv · 1207.0775

The self regulation problem as an inexact steepest descent method for multicriteria optimization

G. C. Bento·J. X. Cruz Neto·P. R. Oliveira·A. Soubeyran
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Abstract

In this paper, we study an inexact steepest descent method, with Armijo's rule, for multicriteria optimization. The sequence generated by the method is guaranteed to be well-defined. Assuming quasi-convexity of the multicriteria function we prove full convergence of the sequence to a critical Pareto point. As an application, this paper offers a model of self regulation in Psychology, using a recent variational rationality approach.

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G. C. Bento, J. X. Cruz Neto, P. R. Oliveira, A. Soubeyran. 2012-07-03. The self regulation problem as an inexact steepest descent method for multicriteria optimization. https://arxiv.org/abs/1207.0775

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