TY - JOUR
T1 - Preinvex functions and weak efficient solutions for some vectorial optimization problem in Banach spaces
AU - Dos Santos, L. Batista
AU - Osuna-Gómez, R.
AU - Rojas-Medar, M. A.
AU - Rufián-Lizana, A.
PY - 2004/9
Y1 - 2004/9
N2 - In this work, we introduce the notion of preinvex function for functions between Banach spaces. By using these functions, we obtain necessary and sufficient conditions of optimality for vectorial problems with restrictions of inequalities. Moreover, we will show that this class of problems has the property that each local optimal solution is in fact global.
AB - In this work, we introduce the notion of preinvex function for functions between Banach spaces. By using these functions, we obtain necessary and sufficient conditions of optimality for vectorial problems with restrictions of inequalities. Moreover, we will show that this class of problems has the property that each local optimal solution is in fact global.
KW - Multiobjective optimization
KW - Optimality conditions
KW - Preinvexity
UR - https://www.scopus.com/pages/publications/14644415575
U2 - 10.1016/j.camwa.2003.05.013
DO - 10.1016/j.camwa.2003.05.013
M3 - Article
AN - SCOPUS:14644415575
SN - 0898-1221
VL - 48
SP - 885
EP - 895
JO - Computers and Mathematics with Applications
JF - Computers and Mathematics with Applications
IS - 5-6
ER -