Précis—Sufficiency Conditions for Constrained Optima
Published Online:1 Jul 1970https://doi.org/10.1287/mnsc.16.11.762
Abstract
The sufficiency conditions for constrained optimization problems are derived through an alternate approach and result in a simpler form than one latest work [Schechter, R. S., G. S. G. Beveridge. 1966. Sufficiency conditions in constrained variations. Indus. Eng. Chemistry Fundamentals5 571–573.]. The relations can be used with equality and/or inequality constraints. The sufficiency conditions of Phipps [Phipps, C. G. 1952. Maxima and minima under restraint. Amer. Math. Monthly59 230–235.] which have been quoted for years in the literature were corrected in this work.
