A Weaker Constraint Qualification of Globally Convergent Homotopy Method for a Multiobjective Programming Problem

Abstract

In this paper, we prove that the combined homotopy interior point method for a multiobjective programming problem introduced in Ref. [1] remains valid under a weaker constrained qualification—the Mangasarian-Fromovitz constrained qualification, instead of linear independence constraint qualification. The algorithm generated by this method associated to the Karush-Kuhn-Tucker points of the multiobjective programming problem is proved to be globally convergent.



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G. Yao and W. Song, "A Weaker Constraint Qualification of Globally Convergent Homotopy Method for a Multiobjective Programming Problem," Applied Mathematics, Vol. 4 No. 2, 2013, pp. 343-347. doi: 10.4236/am.2013.42052.

Conflicts of Interest

The authors declare no conflicts of interest.

References

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