%0 Journal Article
%T Generalized Vector Equilibrium-Like Problems without Pseudomonotonicity in Banach Spaces
%A Ceng Lu-Chuan
%A Guu Sy-Ming
%A Yao Jen-Chih
%J Journal of Inequalities and Applications
%D 2007
%I Springer
%X Let and be real Banach spaces, a nonempty closed convex subset of , and a multifunction such that for each is a proper, closed and convex cone with , where denotes the interior of . Given the mappings , , and , we study the generalized vector equilibrium-like problem: find such that for all for some . By using the KKM technique and the well-known Nadler result, we prove some existence theorems of solutions for this class of generalized vector equilibrium-like problems. Furthermore, these existence theorems can be applied to derive some existence results of solutions for the generalized vector variational-like inequalities. It is worth pointing out that there are no assumptions of pseudomonotonicity in our existence results.
%U http://www.journalofinequalitiesandapplications.com/content/2007/061794