CLOSURE OF THE RIGHT-HAND-SIDE SET FOR SYSTEMS OF NONLINEAR INEQUALITIES.

Consider the set of all vectors b such that the system g(x)≤ b has a solution, where g:D→R[supm], D⊆R[supn]. This paper presents necessary and sufficient conditions for this set to be closed, with special results on continuous and convex functions, and gives an application to mathematical programming. [ABSTRACT FROM AUTHOR]