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Future Challenges for Variational Analysis

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Variational Analysis and Generalized Differentiation in Optimization and Control

Part of the book series: Springer Optimization and Its Applications ((SOIA,volume 47))

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.

This chapter is dedicated to Boris Mordukhovich on the occasion of his 60th birthday. It is based on a talk presented at the International Symposium on Variational Analysis and Optimization (ISVAO), Department of Applied Mathematics, Sun Yat-Sen University, 28–30 November 2008.

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Author information

Authors and Affiliations

  1. CARMA, University of Newcastle, Newcastle, NSW, Australia

    Jonathan M. Borwein

Authors
  1. Jonathan M. Borwein
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Correspondence to Jonathan M. Borwein .

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Editors and Affiliations

  1. School of Mathematics & Statistics, Division of Information Technology, University of South Australia, Mawson Lakes Blvd., Mawson Lakes, 5095, South Australia, Australia

    Regina S. Burachik

  2. , Department of Applied Mathematics, National Sun Yat-Sen University, Kaohsiung, 80424, Taiwan R.O.C.

    Jen-Chih Yao

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Borwein, J.M. (2010). Future Challenges for Variational Analysis. In: Burachik, R., Yao, JC. (eds) Variational Analysis and Generalized Differentiation in Optimization and Control. Springer Optimization and Its Applications, vol 47. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-0437-9_4

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