GENERALIZED g-TYPE EXPONENTIAL VECTOR VARIATIONAL INEQUALITY PROBLEMS

Abstract

In this works, we introduce a class of {\it generalized $g$-type exponential vector variational inequality problems} in Euclidean spaces and define $\alpha_g$-relaxed exponentially $(\tau,\mu)$-monotone mapping. By utilizing KKM-mapping and Nadler's theorem with $\alpha_g$-relaxed exponentially $(\tau,\mu)$-monotone mapping, we prove that the existence theorems of {\it generalized $g$-type exponential vector variational inequality problems}.