TY - JOUR
T1 - On variational problems
T2 - Characterization of solutions and duality
AU - Arana-Jiménez, M.
AU - Osuna-Gómez, Rafaela
AU - Ruiz-Garzón, Gabriel
AU - Rojas-Medar, M.
PY - 2005/11/1
Y1 - 2005/11/1
N2 - In this paper we introduce a new class of pseudoinvex functions for variational problems. Using this new concept, we obtain a necessary and sufficient condition for a critical point of the variational problem to be an optimal solution, illustrated with an example. Also, weak, strong and converse duality are established.
AB - In this paper we introduce a new class of pseudoinvex functions for variational problems. Using this new concept, we obtain a necessary and sufficient condition for a critical point of the variational problem to be an optimal solution, illustrated with an example. Also, weak, strong and converse duality are established.
KW - Critical point
KW - Duality
KW - Pseudoinvexity
KW - Variational problem
UR - https://www.scopus.com/pages/publications/24744466085
U2 - 10.1016/j.jmaa.2004.12.001
DO - 10.1016/j.jmaa.2004.12.001
M3 - Article
AN - SCOPUS:24744466085
SN - 0022-247X
VL - 311
SP - 1
EP - 12
JO - Journal of Mathematical Analysis and Applications
JF - Journal of Mathematical Analysis and Applications
IS - 1
ER -