Generalized vector complementarity-type problems in topological vector spaces

In this paper, we introduced the generalized vector variational inequality-type problem and the generalized vector complementarity-type problem in the setting of topological vector space. By utilizing a modified version of the Fan–KKM theorem, we investigated the nonemptyness and compactness of solution sets of these problems without the demipseudomonotonicity assumption. Further, we prove that solution sets of both the problems are equivalent to each other under some suitable conditions. The results of this paper generalize and improve several results that appeared recently in the literature. © 2010 Elsevier Ltd. All rights reserved.