پديدآورندگان :
KHAKRAH ELHAM e.khakrah@yahoo.com Department of Mathematics, Faculty of Science, Imam Khomeini International University, P.O. Box 34149-16818, Qazvin, Iran , OVEISIHA MORTEZA oveisiha@sci.ikiu.ac.ir Department of Mathematics, Faculty of Science, Imam Khomeini International University, P.O. Box 34149-16818, Qazvin, Iran , RAZANI ABDOLRAHMAN razani@sci.ikiu.ac.ir Department of Mathematics, Faculty of Science, Imam Khomeini International University, P.O. Box 34149-16818, Qazvin, Iran
كليدواژه :
nonsmooth variational inequalities , set , valued optimiza , tion , scalarization , variable ordering structures.
چكيده فارسي :
In this paper, som set relations equipped with a vari-
able ordering structure are introduced. The notion of linear scalar-
ization for the st-valued optimization problems is extended. Then,
some relations between optimal solutions and scalarized solutions
are obtained. Also, by using the linear scalarization method, non-
smooth variational inequalities are defined and their relations with
the scalarized optimization problems are studied.
