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Yet Another Convex Sets Subtraction with Application in Nondifferentiable Optimization by Nurminski, Evgeni; Uryasev, Stan is a scholarly article available to read on EtoBox.

What is Yet Another Convex Sets Subtraction with Application in Nondifferentiable Optimization about?

This paper introduces a new subtraction operation for convex sets, which defines their difference as a collection of inclusion-minimal convex sets with appropriate definitions of linear operations on them. With these operations the set of collections becomes a linear vector space with common zero and possibility to invert Minkowski summation. As the demonstration of usability of this concept the Lipschitz continuity of \(\epsilon\)-subdifferentials of convex analysis is proved in a novel way.

Author

Nurminski, Evgeni; Uryasev, Stan

Published

2018

Language

EN