Abstract
In the infinite-horizon and discrete-time framework, we establish maximum principles of Pontryagin under assumptions, which are weaker than those of existing results. We avoid several assumptions of continuity and of Fréchet differentiability and of linear independence.
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References
Blot, J.: On the multiplier rules. Optimization 65, 947–955 (2016)
Blot, J.: Infinite-horizon discrete-time Pontryagin principles via results of Michel. In: Reich, S., Zaslavski, A.J. (eds.) Proceedings of the Haifa Workshop on Optimisation and related topics, Contemporary Mathematics, vol. 568, pp. 41–51 (2012)
Blot, J., Chebbi, H.: Discrete time Pontryagin principle in infinite horizon. J. Math. Anal. Appl. 246, 265–279 (2000)
Blot, J., Hayek, N.: Infinite-Horizon Optimal Control in the Discrete-Time Framework. Springer, New York (2014)
Stokey, N.L., Lucas, R.E., Prescott, E.C.: Recursive Methods in Economic Dynamics. Havard University Press, Cambridge (1989)
Blot, J.: Infinite-horizon Pontryagin principle without invertibility. J. Nonlinear Convex Anal. 10, 157–176 (2009)
Blot, J.: A Pontryagin principle for infinite-horizon problems under constraints. Dyn. Contin. Discrete Impuls. Syst. Ser. B Appl. Algorithms 19, 267–275 (2012)
Giannessi, F.: Semidifferentiable functions and necessary optimality conditions. J. Optim. Theory Appl. 60, 191–241 (1989)
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The authors thank an anonymous referee for his precious comments that help them to clarify some points of the paper.
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Blot, J., Ngo, TN. Lightenings of Assumptions for Pontryagin Principles in Infinite Horizon and Discrete Time. J Optim Theory Appl 172, 351–368 (2017). https://doi.org/10.1007/s10957-016-0971-5
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DOI: https://doi.org/10.1007/s10957-016-0971-5