Converting exhausters and coexhausters

Abstract: Exhausters and coexhausters are notions of constructive nonsmooth analysis which are used to study extremal properties of functions. An upper exhauster (coexhauster) is used to get an approximation of a considered function in the neighborhood of a point in the form of $\min\max$ of linear (affine) functions. A lower exhauster (coexhauster) is used to represent the approximation in the form of $\max\min$ of linear (affine) functions. Conditions for a minimum in a most simple way are expressed by means of upper exhausters and coexhausters, while conditions for a maximum are described in terms of lower exhausters and coexhausters. Thus the problem of obtaining an upper exhauster or coexhauster when the lower one is given and vice verse arises. In the talk I will consider this problem and present new method for such a . Also all needed auxiliary information will be provided.

optimization and control

Audience: researchers in the topic

Variational Analysis and Optimisation Webinar

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