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Future Challenges for Variational Analysis

In: Variational Analysis and Generalized Differentiation in Optimization and Control

Author

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  • Jonathan M. Borwein

    (CARMA, University of Newcastle)

Abstract

Modern nonsmooth analysis is now roughly 35years old. In this chapter, I shall attempt to analyse (briefly): where the subject stands today, where it should be going, and what it will take to get there? In summary, the conclusion is that the first-order theory is rather impressive, as are many applications. The second-order theory is by comparison somewhat underdeveloped and wanting of further advance.

Suggested Citation

  • Jonathan M. Borwein, 2010. "Future Challenges for Variational Analysis," Springer Optimization and Its Applications, in: Regina S. Burachik & Jen-Chih Yao (ed.), Variational Analysis and Generalized Differentiation in Optimization and Control, pages 95-107, Springer.
    • Handle: RePEc:spr:spochp:978-1-4419-0437-9_4
    DOI: 10.1007/978-1-4419-0437-9_4
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    Cited by:

    1. Dariusz Zagrodny, 2018. "The Strong Convergence of Subgradients of Convex Functions Along Directions: Perspectives and Open Problems," Journal of Optimization Theory and Applications, Springer, vol. 178(2), pages 660-671, August.

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