TY - JOUR
ID - 665214
TI - On Vector Equilibrium Problem with Generalized Pseudomonotonicity
JO - Advances in Mathematical Finance and Applications
JA - AMFA
LA - en
SN - 2538-5569
AU - Farajzadeh, Ali
AU - Halimi, Syyedeh Marzieh
AD - Department of Mathematics, Razi University, Kermanshah, 67149, Iran
AD - Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran,Iran
Y1 - 2019
PY - 2019
VL - 4
IS - 2
SP - 65
EP - 74
KW - Economics equilibrium point
KW - Vector equilibrium problem
KW - Generalized pseudomonotonicity
DO - 10.22034/amfa.2019.583570.1170
N2 - In this paper, first a short history of the notion of equilibrium problem in Economics and Nash$acute{'}$ game theory is stated. Also the relationship between equilibrium problem among important mathematical problems like optimization problem, nonlinear programming, variational inequality problem, fixed point problem and complementarity problem is given. The concept of generalized pseudomonotonicity for vector valued bifunctions is introduced. By using it some existence results for the vector equilibrium problem, in the setting of topological vector spaces, are presented. Some examples in order to illustrate the main results and compare them with the corresponding published results are furnished. Further, the compactness of the solution set of vector equilibrium problem is investigated.
UR - http://amfa.iau-arak.ac.ir/article_665214.html
L1 - http://amfa.iau-arak.ac.ir/article_665214_8a1f384d3682d77ba0cc4ed5927b48de.pdf
ER -