Interval Variational Inequalities

Abstract

In this article, we introduce interval variational inequalities and establish a relation between their solution sets. We also define interval-valued pseudoconvex and pseudomonotone functions. For an interval optimization problem (IOP), a necessary and sufficient condition of optimality is given in terms of Stampacchia interval variational inequality. The entire study is supported by suitable illustrative examples. © 2020, Springer Nature Singapore Pte Ltd.