Abstract
Necessary conditions of optimality are obtained for general mathematical programming problems on a product space. The cost functional is locally Lipschitz and the constraints are expressed as inclusion relations with unbounded linear operators and multivalued term. The abstract result is applied to an optimal control problem governed by an elliptic differential inclusion.
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Dedicated to the memory of Professor George Isac
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Motreanu, D. (2010). Nonlinear Problems in Mathematical Programming and Optimal Control. In: Pardalos, P., Rassias, T., Khan, A. (eds) Nonlinear Analysis and Variational Problems. Springer Optimization and Its Applications, vol 35. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-0158-3_26
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DOI: https://doi.org/10.1007/978-1-4419-0158-3_26
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