Topological Variants of Vector Variational Inequality Problem

In this paper, we provide a couple of solutions for the vector variational inequality problem, adopting topological approach. We consider here more general framework, where X and Y are spaces. Topological concepts including continuity, compactness, closedness, so on used obtaining our results. The condition admissibility function space topology is found to play an important role in achieving It that solution sets obtained closed as well compact.