  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.
