%0 Journal Article %T Existence Theorem for Vector Quasi-Variational-like Inequalities %A Byung-Soo Lee %A Salahuddin %J Journal of Nonlinear Analysis and Application %D 2012 %I International Scientific Publications and Consulting Services (ISPACS) %R 10.5899/2012/jnaa-00121 %X In this paper, using the maximal element theorem, we prove some existence theorem for vector quasi-variational-like inequalities without monotonicity and without compactness. %K Set-valued mapping %K vector quasi-variational-like inequality %K maximal element theorem %K locally convex Hausdorff topological space %K upper semi-continuous %K open lower sections %K 0-C(x)-diagonally convex %K L-eta-condition %U http://www.ispacs.com/journals/jnaa/2012/jnaa-00121/article.pdf