Abstract
By introducing the concept of a γ-convex set, a new discrete analogue of Pontryagin’s maximum principle is obtained. By generalizing the concept of the relative interior of a set, an equality-type optimality condition is proved, which is called by the authors the Pontryagin equation.
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Original Russian Text © M.J. Mardanov, T.K. Melikov, 2018, published in Doklady Akademii Nauk, 2018, Vol. 483, No. 1.
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Mardanov, M.J., Melikov, T.K. A New Discrete Analogue of Pontryagin’s Maximum Principle. Dokl. Math. 98, 549–551 (2018). https://doi.org/10.1134/S1064562418070049
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DOI: https://doi.org/10.1134/S1064562418070049