TY - JOUR
T1 - Some relations between variational-like inequality problems and vectorial optimization problems in Banach spaces
AU - dos Santos, Lucelina Batista
AU - Ruiz-Garzón, Gabriel
AU - Rojas-Medar, Marko A.
AU - Rufián-Lizana, Antonio
PY - 2008/4
Y1 - 2008/4
N2 - In this work, we will establish some relations between variational-like inequality problems and vectorial optimization problems in Banach spaces under invexity hypotheses. This paper extends the earlier work of Ruiz-Garzón et al. [G. Ruiz-Garzón, R. Osuna-Gómez, A. Rufián-Lizana, Relationships between vector variational-like inequality and optimization problems, European J. Oper. Res. 157 (2004) 113-119].
AB - In this work, we will establish some relations between variational-like inequality problems and vectorial optimization problems in Banach spaces under invexity hypotheses. This paper extends the earlier work of Ruiz-Garzón et al. [G. Ruiz-Garzón, R. Osuna-Gómez, A. Rufián-Lizana, Relationships between vector variational-like inequality and optimization problems, European J. Oper. Res. 157 (2004) 113-119].
KW - Banach spaces
KW - Pseudoinvex functions
KW - Variational-like inequality problem
KW - Vectorial optimization problem
KW - Weak efficiency
UR - https://www.scopus.com/pages/publications/40749104294
U2 - 10.1016/j.camwa.2007.08.028
DO - 10.1016/j.camwa.2007.08.028
M3 - Article
AN - SCOPUS:40749104294
SN - 0898-1221
VL - 55
SP - 1808
EP - 1814
JO - Computers and Mathematics with Applications
JF - Computers and Mathematics with Applications
IS - 8
ER -