GENERALIZED VECTOR MINTY'S LEMMA
Byung-Soo Lee · The Pure and Applied Mathematics · 2012
In this paper, the author defines a new generalized ${\eta}$ , ${\delta}$ , ${\alpha}$ )-pseudomonotone mapping and considers the equivalence of Stampacchia-type vector variational-like inequality problems and Minty-type vector variational-like inequality problems for generalized ( ${\eta}$ , ${\delta}$ , ${\alpha}$ )-pseudomonotone mappings in Banach spaces, called the generalized vector Minty's lemma.