Locally Farkas–Minkowski Systems in Convex Semi-Infinite Programming

M. D. Fajardo and M. A. López
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M. D. Fajardo: University of Alicante
M. A. López: University of Alicante

Journal of Optimization Theory and Applications, 1999, vol. 103, issue 2, No 3, 313-335

Abstract: Abstract A pair of constraint qualifications in convex semi-infinite programming, namely the locally Farkas–Minkowski constraint qualification and generalized Slater constraint qualification, are studied in the paper. We analyze the relationship between them, as well as the behavior of the so-called active and sup-active mappings, accounting for the tightness of the constraint system at each point of the variables space. The generalized Slater constraint qualification guarantees a regular behavior of the supremum function (defined as supremum of the infinitely many functions involved in the constraint system), giving rise to the well-known Valadier formula.

Keywords: Convex semi-infinite programming; constraint qualifications; subdifferential mappings; Valadier formula; monotone operators; locally Farkas–Minkowski systems (search for similar items in EconPapers)
Date: 1999
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Citations: View citations in EconPapers (2)

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DOI: 10.1023/A:1021700702376

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