Abstract
In 1974 H. Halkin formulated and solved the correction function problem in the case the functions involved are differentiable but not necessarily continuously differentiable. In this paper some generalizations of the Halkin correction theorem are stated for quasidifferentiable functions. A generalization of the Kakutani fixed—point theorem is used. Uniqueness and continuity conditions are formulated.
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© 1996 Springer Science+Business Media New York
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Dem’yanov, V.F. (1996). Correction Theorems for Nonsmooth Systems. In: Di Pillo, G., Giannessi, F. (eds) Nonlinear Optimization and Applications. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-0289-4_5
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DOI: https://doi.org/10.1007/978-1-4899-0289-4_5
Publisher Name: Springer, Boston, MA
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