Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
840511 | Nonlinear Analysis: Theory, Methods & Applications | 2011 | 6 Pages |
Abstract
We consider the projected gradient method for solving the problem of finding a Pareto optimum of a quasiconvex multiobjective function. We show convergence of the sequence generated by the algorithm to a stationary point. Furthermore, when the components of the multiobjective function are pseudoconvex, we obtain that the generated sequence converges to a weakly efficient solution.
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Authors
J.Y. Bello Cruz, L.R. Lucambio Pérez, J.G. Melo,