Wednesday, 16:15 - 16:40 h, Room: H 2051

 

Vladimir Shikhman
Implicit vs. inverse function theorem in nonsmooth analysis

 

Abstract:
We study the application of implicit and inverse function theorems to systems of complementarity equations. The goal is to characterize the so-called topological stability of those systems. Here, stability refers to homeomorphy invariance of the solution set under small perturbations of the defining functions. We discuss the gap between the nonsmooth versions of implicit and inverse function theorems in the complementarity setting. Namely, for successfully applying the nonsmooth implicit function theorem one needs to perform first a linear coordinate transformation. We illustrate how this fact becomes crucial for the nonsmooth analysis.

 

Talk 3 of the invited session Wed.3.H 2051
"Some stability aspects in optimization theory" [...]
Cluster 24
"Variational analysis" [...]

 

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