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Variational Analysis of Regular Mappings pp 299–364Cite as

Applications to Analysis and Optimization 1

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Part of the book series: Springer Monographs in Mathematics ((SMM))

Abstract

In this chapter we consider applications of regularity theory to a variety of (mainly infinite-dimensional) problems of analysis and optimization.

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Notes

  1. 1.

    Note that “Lipschitz close” approximations were used earlier in optimization theory, see e.g. the proof of a general maximum principle in Chap. 4 of [189].

  2. 2.

    A convex combination of elements of a weakly converging sequence converges in the norm topology.

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Authors and Affiliations

  1. Department of Mathematics, Technion – Israel Institute of Technology, Haifa, Israel

    Alexander D. Ioffe

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  1. Alexander D. Ioffe
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Correspondence to Alexander D. Ioffe .

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Ioffe, A.D. (2017). Applications to Analysis and Optimization 1. In: Variational Analysis of Regular Mappings. Springer Monographs in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-319-64277-2_7

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