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Co-Jacobian for Lipschitzian Maps

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Abstract

The notion of co-Jacobian is introduced for locally Lipschitz functions acting between arbitrary normed spaces. The main results of this paper provide a characterization, calculus rules, a mean value theorem, as well as the computation of the co-Jacobian of piecewise smooth functions. Comparisons with known differentiability notions and Mordukhovich’s co-derivatives are derived.

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Authors and Affiliations

  1. Institute of Mathematics, University of Debrecen, 4010, Debrecen, Pf. 12, Hungary

    Zsolt Páles

  2. Department of Mathematics, Michigan State University, East Lansing, MI, 48824, USA

    Vera Zeidan

Authors
  1. Zsolt Páles
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  2. Vera Zeidan
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Correspondence to Vera Zeidan.

Additional information

Research of the first author is supported by the Hungarian Scientific Research Fund (OKTA) under grants K62316, NK81402. Research of the second author is supported by the National Science Foundation under grant DMS-0707789.

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Páles, Z., Zeidan, V. Co-Jacobian for Lipschitzian Maps. Set-Valued Anal 18, 57–78 (2010). https://doi.org/10.1007/s11228-009-0130-3

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