Abstract
Necessary conditions are given for a real-valued function to have a minimum subject to an inequality constraint. Under the appropriate hypotheses, the problem is demonstrated to be a special case of the type of problem to which Guignard's Kuhn-Tucker theorem can be applied.
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References
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Guignard, M.,Generalized Kuhn-Tucker Conditions for Mathematical Programming in Banach Spaces, SIAM Journal on Control, Vol. 7, pp. 232–241, 1969.
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Communicated by L. D. Berkovitz
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Bender, P.J. An application of Guignard's generalized Kuhn-Tucker conditions. J Optim Theory Appl 25, 585–589 (1978). https://doi.org/10.1007/BF00933524
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DOI: https://doi.org/10.1007/BF00933524