Pseudoconvex Multiobjective Continuous-time Problems and Vector Variational Inequalities
الموضوعات : مجله بین المللی ریاضیات صنعتیE. ‎Khakrah‎ 1 , A. R. Razani 2 , M. Oveisiha‎ 3
1 - Department of Mathematics, Faculty of Science, Imam Khomeini International University, Qazvin, Iran.
2 - Department of Mathematics, Faculty of Science, Imam Khomeini International University, Qazvin, Iran.
3 - Department of Mathematics, Faculty of Science, Imam Khomeini International University, Qazvin, Iran.
الکلمات المفتاحية: Multiobjective continuous-time, Generalized vector variational, Efficiency, Generalized convexity.,
ملخص المقالة :
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.
