期刊
FILOMAT
卷 26, 期 5, 页码 909-916出版社
UNIV NIS, FAC SCI MATH
DOI: 10.2298/FIL1205909H
关键词
Generalized nonlinear vector quasi-variational-like inequality; fixed point theorem; open lower section; upper semi-continuous; 0-diagonally convex; locally convex topological vector space
In this paper, we introduce and study a class of generalized nonlinear vector quasi-variationallike inequalities with set-valued mappings in Hausdorff topological vector spaces which includes generalized nonlinear mixed variational-like inequalities, generalized vector quasi-variational-like inequalities, generalized mixed quasi-variational-like inequalities and so on. By means of fixed point theorem, we obtain existence theorem of solutions to the class of generalized nonlinear vector quasi-variational-like inequalities in the setting of locally convex topological vector spaces.
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