Pseudoconvex Multiobjective Continuous-time Problems and Vector Variational Inequalities
محورهای موضوعی : مجله بین المللی ریاضیات صنعتی
E. ‎Khakrah‎
1
(
Department of Mathematics, Faculty of Science, Imam Khomeini International University, Qazvin, Iran.
)
A. R. Razani
2
(
Department of Mathematics, Faculty of Science, Imam Khomeini International University, Qazvin, Iran.
)
M. Oveisiha‎
3
(
Department of Mathematics, Faculty of Science, Imam Khomeini International University, Qazvin, Iran.
)
کلید واژه: Multiobjective continuous-time, Generalized vector variational, Efficiency, Generalized convexity.,
چکیده مقاله :
In this paper, the concept of pseudoconvexity and quasiconvexity for continuous~-time functions are studied and an equivalence condition for pseudoconvexity is obtained. Moreover, under pseudoconvexity assumptions, some relationships between Minty and Stampacchia vector variational inequalities and continuous-time programming problems are presented. Finally, some characterizations of the solution sets of a single-valued continuous-time programming problem are obtained.
