On Generalized Strong Vector Variational Inequality Problem with Fuzzy Mappings
S.M. Halimi, A.P. Farajzadeh, A. Kaewcharoen
Keywords:
KKM mappings, complementarity problems, variational inequalities, positive homogeneous mappings, fuzzy mappingsAbstract
In this paper, the generalized strong vector variational inequality problem with fuzzy mappings is introduced. The relationship between the solution set of it with the solution sets of the problems generalized vector complementarity problem with fuzzy mappings (GVCPFM) and generalized vector variational inequality problem with fuzzy mappings((GVVIPFM)is investigated. Also the equality of the solution sets of (GVCPFM) and (GVVIPFM) under mild assumptions is presented. Finally some existence results of a solution for the above problems by relaxing the upper semicontinuity and $0-$digonally convexity on the mappings, which are assumed in some papers, are established. The results of this paper can be viewed as an improvement of the corresponding results in the literature.
