Abstract
A parametric optimization problem is considered in which the objective and a part of the restrictions are max-functions and a part of the constraints are not given functionally but independent of a parameter. Lipschitzian properties and differential expansions of the approximate optimal solutions of the perturbed problems are established in case the set of optimal solutions of the unperturbed problem contains non-isolated points.
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Levitin, E.S. (1997). On Differential Properties of Approximate Optimal Solutions in Parametric Semi-Infinite Programming. In: Gritzmann, P., Horst, R., Sachs, E., Tichatschke, R. (eds) Recent Advances in Optimization. Lecture Notes in Economics and Mathematical Systems, vol 452. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-59073-3_12
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DOI: https://doi.org/10.1007/978-3-642-59073-3_12
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