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

Yet Another Convex Sets Subtraction with Application in Nondifferentiable Optimization