Stability in Nonlinear Programming

J. P. Evans and F. J. Gould
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J. P. Evans: University of North Carolina, Chapel Hill, North Carolina
F. J. Gould: University of North Carolina, Chapel Hill, North Carolina

Operations Research, 1970, vol. 18, issue 1, 107-118

Abstract: This paper establishes necessary and sufficient conditions for constraint set stability requiring neither convex constraint functions not convex constraint sets. These conditions then lead to a sufficiency result for the continuity of the optimal objective values as the right-hand side varies. Applications to quasiconvex functions are presented.

Date: 1970
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