Existence of Solutions of Set-valued Strong Vector Equilibrium Problems

Tirth Ram, Parshotam Lal

Abstract

In this paper, we considered set-valued strong vector equilibrium problems and obtained some existence results with and without compactness assumptions in Hausdorff topological vector spaces ordered by a cone. Further, we established some existence results by making use of self-segment dense set, a special type of dense set. Our results in this paper are new which can be considered as a generalization of many known results in the literature.