Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
840742 | Nonlinear Analysis: Theory, Methods & Applications | 2012 | 11 Pages |
Abstract
In this paper we establish new generalized differentiation rules in general Banach spaces regarding normal cones to set images under functions, coderivatives of compositions of set-valued mappings, as well as calculus results for normal compactness of sets and their images. In addition to the metric regularity of mappings, our results involve tangential distances of sets for which we also provide a fairly complete study by exploring its variations, basic properties, as well as relations to similar notions. Some related results are also established.
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Authors
Nguyen Mau Nam, Bingwu Wang,