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Introduction

In: Turnpike Phenomenon and Symmetric Optimization Problems

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  • Alexander Zaslavski

    (Technion-Israel Institute of Technol)

Abstract

In this chapter we consider optimization problems on complete metric spaces without compactness assumptions, optimization problems arising in crystallography and symmetric optimization problems in abstract spaces. We also discuss turnpike properties in the calculus of variations. To have the turnpike property means, roughly speaking, that the approximate solutions of the problems are determined mainly by the integrand and are essentially independent of the choice of interval and endpoint conditions, except in regions close to the endpoints.

Suggested Citation

  • Alexander Zaslavski, 2022. "Introduction," Springer Optimization and Its Applications, in: Turnpike Phenomenon and Symmetric Optimization Problems, chapter 0, pages 1-23, Springer.
    • Handle: RePEc:spr:spochp:978-3-030-96973-8_1
    DOI: 10.1007/978-3-030-96973-8_1
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