On the Image Regularity Condition

M. Pappalardo
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M. Pappalardo: University of Pisa

Journal of Optimization Theory and Applications, 2004, vol. 121, issue 3, No 9, 673-678

Abstract: Abstract In this paper, we continue the analysis of the image regularity condition (IRC) as introduced in a previous paper where we have proved that IRC implies the existence of generalized Lagrange-John multipliers with first component equal to 1. The term generalized is connected with the fact that the separation (in the image space) is not necessarily linear (when we have classic Lagrange-John multipliers), but it can be also nonlinear. Here, we prove that the IRC guarantees, also in the nondifferentiable case, the fact that 0 is a solution of the first-order homogeneized (linearized) problem obtained by means of the Dini-Hadamard derivatives.

Keywords: Constrained optimization; constraint qualifications; Dini-Hadamard derivatives; image space analysis (search for similar items in EconPapers)
Date: 2004
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DOI: 10.1023/B:JOTA.0000037687.36868.5a

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