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Differentiability and regularity of Lipschitzian mappings |
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| Authors: | Boris S Mordukhovich Bingwu Wang |
| Institution: | Department of Mathematics, Wayne State University, Detroit, Michigan 48202 ; Department of Mathematics, Eastern Michigan University, Ypsilanti, Michigan 48197 |
| Abstract: | We introduce new differentiability properties of functions between Banach spaces and establish their relationships with graphical regularity of Lipschitzian single-valued and set-valued mappings. The proofs are based on advanced tools of nonsmooth variational analysis including new results on coderivative scalarization and normal cone calculus. |
| Keywords: | Lipschitzian mappings differentiability Banach spaces variational analysis graphical regularity |
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