Pseudoconvex Multiobjective Continuous-time Problems and Vector Variational Inequalities
Subject Areas : International Journal of Industrial Mathematics
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.)
Keywords: Multiobjective continuous-time, Generalized vector variational, Efficiency, Generalized convexity.,
Abstract :
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.