Journal of East China Normal University(Natural Sc ›› 2011, Vol. 2011 ›› Issue (5): 49-59.

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A Class of second-order approximating sets and derivatives

LIAO Chun-mei, LI Ming-hua   

  1. College of Mathematics and Statistics, Chongqing University, Chongqing 401331, China
  • Received:2010-09-01 Revised:2010-12-01 Online:2011-09-25 Published:2011-11-22

Abstract: A class of second-order approximating sets and second-order derivatives were introduced. The relationships among second-order approximating sets were discussed. Finally, by using so-called second-order approximating Φ-contingent set, second-order differential properties of a class of set-valued maps were investigated.

Key words: second-order approximating derivatives, second-order approximating sets, differential properties

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