Cho, Y. J.; Salahuddin; Ahmad, M. K. On generalized vector quasi-variational type inequalities. (English) Zbl 1213.49011 East Asian Math. J. 26, No. 1, 49-58 (2010). Summary: We consider and study a new class of generalized vector quasi-variational type inequalities and obtain some existence theorems for both under compact and noncompact assumptions in topological vector spaces without using monotonicity. For the noncompact case, we use the concept of escaping sequences. MSC: 49J40 Variational inequalities 47H05 Monotone operators and generalizations Keywords:generalized vector quasi-variational type inequality; escaping sequence; upper-semi-continuous function; affine mapping PDFBibTeX XMLCite \textit{Y. J. Cho} et al., East Asian Math. J. 26, No. 1, 49--58 (2010; Zbl 1213.49011)