TY - JOUR
T1 - Existence of weakly efficient solutions in nonsmooth vector optimization
AU - Santos, Lucelina Batista
AU - Rojas-Medar, Marko
AU - Ruiz-Garzón, Gabriel
AU - Rufián-Lizana, Antonio
PY - 2008/7/1
Y1 - 2008/7/1
N2 - In this paper we study the existence of weakly efficient solutions for some nonsmooth and nonconvex vector optimization problems. We consider problems whose objective functions are defined between infinite and finite-dimensional Banach spaces. Our results are stated under hypotheses of generalized convexity and make use of variational-like inequalities.
AB - In this paper we study the existence of weakly efficient solutions for some nonsmooth and nonconvex vector optimization problems. We consider problems whose objective functions are defined between infinite and finite-dimensional Banach spaces. Our results are stated under hypotheses of generalized convexity and make use of variational-like inequalities.
KW - Invexity
KW - Multiobjective optimization
KW - Nonsmooth analysis
KW - Variational-like inequalities
UR - https://www.scopus.com/pages/publications/44649158264
U2 - 10.1016/j.amc.2007.11.027
DO - 10.1016/j.amc.2007.11.027
M3 - Article
AN - SCOPUS:44649158264
SN - 0096-3003
VL - 200
SP - 547
EP - 556
JO - Applied Mathematics and Computation
JF - Applied Mathematics and Computation
IS - 2
ER -