A Note on Generalized Vector Variational-like Inequalities

摘要

In this paper, we introduced a generalized pseudomonotone and generalized hemicontinu-ous set valued mapping and proved the existence results for a class of generalized vector variational-like inequalities in Hausdorff topological vector spaces and Banach spaces, using the technique of KKM mappings under compact and non compact assumptions in underlying convex sets. Also, we establish an existence result for a special case of the generalized vector variational-like inequalities (GVVLI) in more general context by replacing the convexity assumptions with merely topological properties.tonicity, V-θ-hemicontinuity, fixed point theorem,H-spaces, KKM-Fan-Theorern, escaping sequences, upper semicontinuous, affine mapping.