Future Challenges for Variational Analysis

Jonathan M. Borwein ()
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Jonathan M. Borwein: CARMA, University of Newcastle

A chapter in Variational Analysis and Generalized Differentiation in Optimization and Control, 2010, pp 95-107 from Springer

Abstract: 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.

Keywords: Banach Space; Nonexpansive Function; Lipschitz Function; Separable Hilbert Space; Convex Case (search for similar items in EconPapers)
Date: 2010
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DOI: 10.1007/978-1-4419-0437-9_4

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