TY - JOUR
T1 - Optimality conditions for nonlinear infinite programming problems
AU - de Oliveira, Valeriano A.
AU - dos Santos, Lucelina B.
AU - Osuna-Gómez, Rafaela
AU - Rojas-Medar, Marko A.
N1 - Publisher Copyright:
© 2014, Springer-Verlag Berlin Heidelberg.
PY - 2015/8/29
Y1 - 2015/8/29
N2 - An infinite programming problem consists in minimizing a functional defined on a real Banach space under an infinite number of constraints. The main purpose of this article is to provide sufficient conditions of optimality under generalized convexity assumptions. Such conditions are necessarily satisfied when the problem possesses the property that every stationary point is a global minimizer.
AB - An infinite programming problem consists in minimizing a functional defined on a real Banach space under an infinite number of constraints. The main purpose of this article is to provide sufficient conditions of optimality under generalized convexity assumptions. Such conditions are necessarily satisfied when the problem possesses the property that every stationary point is a global minimizer.
KW - Generalized convexity
KW - Infinite programming
KW - Nonlinear programming
KW - Sufficient conditions
UR - https://www.scopus.com/pages/publications/84938294219
U2 - 10.1007/s11590-014-0808-9
DO - 10.1007/s11590-014-0808-9
M3 - Article
AN - SCOPUS:84938294219
SN - 1862-4472
VL - 9
SP - 1131
EP - 1147
JO - Optimization Letters
JF - Optimization Letters
IS - 6
ER -