The purpose of this paper is to investigate the existence of solutions for a class of generalized nonlinear inequalities (GNVI) and generalized nonlinear quasi-variational inequalities (GNQVI) with non-monotone set-valued operators defined on non-compact sets in locally convex Hausdorff topological vector spaces. Results that generalize and unify corresponding recent results of Ding and Tarafdar are derived. (C) 1996 Academic Press, Inc. [References: 27]
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