## Real Analysis Exchange

### C1 selections of multifunctions in one dimension

#### Abstract

Sufficient conditions are given for a multifunction (set-valued function) to admit a continuously differentiable selection in one dimension. These conditions are given in terms of Clarke generalized gradients of the Hamiltonian associated with the multifunction.

#### Article information

Source
Real Anal. Exchange, Volume 22, Number 2 (1996), 655-676.

Dates
First available in Project Euclid: 22 May 2012

https://projecteuclid.org/euclid.rae/1337713148

Mathematical Reviews number (MathSciNet)
MR1460979

Zentralblatt MATH identifier
0942.49021

#### Citation

Knuckles, Craig; Wolenski, Peter R. C 1 selections of multifunctions in one dimension. Real Anal. Exchange 22 (1996), no. 2, 655--676. https://projecteuclid.org/euclid.rae/1337713148

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