Stability of Solution Maps for η-Parameter Weak Vector Variational Inequality

Abstract

In this paper, we introduce a new class of η-parameter weak vector variational inequality (for short, η-PWVVI) in Banach space, which extends the existing parameter weak vector variational inequality. We use the concepts of η(y; x) function, invex set, η-hemicontinuous and η-strongly C pseudomonotone mapping to study (η-PWVVI) and we obtain new η-generalized linearization lemma. The stability of solution maps for (η-PWVVI) is obtained by this lemma. Finally, we present an example to illustrate our results.