Nonsmooth equations in optimization

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Error Bounds: Necessary and Sufficient Conditions (2010, background): “Some similar considerations (in terms of multifunctions) can also be found in [ 29 , 30].”
Regularity and Conditioning of Solution Mappings in Variational Analysis (2004, background): “All these concepts are already used extensively, under various names, in the stability analysis of variational problems; for background material, basic results, and references; see the recent monographs [1, 14, 21 , 35].”