@inbook{10.2307/j.ctt13x1f6d.6,
URL = {http://www.jstor.org/stable/j.ctt13x1f6d.6},
abstract = {This chapter is in many ways a capsule version of the entire book. We shall here investigate the optimization problem which consists in finding the minimum of a functionϕ0on a given set${\cal {E}}$, subject to equality constraintsφi(e) = 0 fori= 1,…,mand inequality constraintsϕi(e) ≤ 0 fori= 1,…,μ, whereφ1,…,φm,ϕ0,ϕ1,…,ϕμare given, real-valued functions defined on${\cal {E}}$. Under the assumptions that${\cal {E}}$is a subset of a linear vector space which is finitely open in itself [see (I.1.39)], thatφ1,…,φmare finitely differentiable},
bookauthor = {Lucien W. Neustadt},
booktitle = {Optimization: A Theory of Necessary Conditions},
pages = {63--95},
publisher = {Princeton University Press},
title = {A Basic Optimization Problem in Simplified Form},
year = {1976}
}