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S. N. Chow, J. Mallet Paret and J. A. Yorke, “Finding Zeros of Maps: Homotopy Methods That are Constructive with Probability One,” Mathematical Computation, Vol. 32, 1978, pp. 887 899. doi:10.1090/S0025 5718 1978 0492046 9

has been cited by the following article:

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

  AUTHORS: Guangming Yao, Wen Song

  KEYWORDS: Multiobjective Programming Problem; Homotopy Method; KKT Condition; Efficient Solution; MFCQ

  JOURNAL NAME: Applied Mathematics, Vol.4 No.2, February 27, 2013

  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.