Rates of Stability in Nonlinear Programming

Michael H. Stern and Donald M. Topkis
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Donald M. Topkis: Hebrew University, Jerusalem, Israel

Operations Research, 1976, vol. 24, issue 3, 462-476

Abstract: We give conditions on a nonlinear programming problem for the set of feasible solutions to have stability on the order of a Lipschitz condition. These results then imply conditions for the optimal value of the objective function to satisfy a Lipschitz condition with respect to the right-hand side vector as well as for the set of ϵ-optimal solutions to have stability on the order of a Lipschitz condition. Results are obtained both with and without convexity assumptions.

Date: 1976
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