Abstract
In this chapter, we study continuous analogs of algorithms for minimization of Frechet differentiable functions studied in Chaps. 2 and 3, under the presence of computational errors. We show that our algorithms generate a good approximate solution, if computational errors are bounded from above by a small positive constant.
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References
Barbu V, Precupanu T (2012) Convexity and optimization in Banach spaces. Springer, Heidelberg
Brezis H (1973) Operateurs maximaux monotones. North Holland, Amsterdam
Li X, Yong J (1995) Optimal control theory for infinite dimensional systems. Birkhauser, Boston
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Zaslavski, A.J. (2022). Continuous Algorithms. In: Optimization in Banach Spaces. SpringerBriefs in Optimization. Springer, Cham. https://doi.org/10.1007/978-3-031-12644-4_4
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DOI: https://doi.org/10.1007/978-3-031-12644-4_4
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Online ISBN: 978-3-031-12644-4
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