TY - JOUR
T1 - The System of Vector Variational-like Inequalities with Weakly Relaxed ${eta_gamma-alpha_gamma}_{gamma inGamma}$ Pseudomonotone Mappings in Banach Spaces
TT -
JF - IJMSI
JO - IJMSI
VL - 5
IS - 2
UR - http://ijmsi.ir/article-1-136-en.html
Y1 - 2010
SP - 1
EP - 11
KW - Variational-like Inequality
KW - Relaxed $eta-alpha$ Pseudomonotone
KW - Relaxed $eta-alpha$ Demipseudomonotone
KW - $eta$-hemicontinuous Mapping.
N2 - In this paper, we introduce two concepts of weakly relaxed ${eta_gamma-alpha_gamma}_{gamma in Gamma}$ pseudomonotone and demipseudomonotone mappings in Banach spaces. Then we obtain some results of the solutions existence for a system of vector variational-like inequalities with weakly relaxed ${eta_gamma-alpha_gamma}_{gamma in Gamma}$ pseudomonotone and demipseudomonotone mappings in reflexive Banach spaces. Finally we show that our results improve and extend some corresponding results of Ref [6].
M3 10.7508/ijmsi.2010.02.001
ER -