Abstract
In this paper, we introduce and study a class of implicit vector quasi-equilibrium problems, which includes implicit vector equilibrium problems, implicit vector quasi-variational inequalities and implicit vector quasi-complementarity problems as special cases. We establish some existence results under compact and noncompact settings by using one person game theorems. As an application of our results, we have obtained existence results for variational inequalities. Our results extends and unify the well known earlier works of many authors.
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