Closure of the Right-Hand-Side Set for Systems of Nonlinear Inequalities

F. J. Gould and H. Pashner
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F. J. Gould: The University of North Carolina, Chapel Hill, North Carolina
H. Pashner: The University of North Carolina, Chapel Hill, North Carolina

Operations Research, 1969, vol. 17, issue 5, 883-887

Abstract: Consider the set of all vectors b such that the system g ( x ) ≦ b has a solution, where g : D → R m , D ⊆ R n . 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.

Date: 1969
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Persistent link: https://EconPapers.repec.org/RePEc:inm:oropre:v:17:y:1969:i:5:p:883-887

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