Abstract

We characterize functions defined on times scales by the contingent epiderivative. Relations between delta and nabla derivatives and the contingent epiderivative of functions defined on time scales are investigated. We formulate two notions that are exploited in optimal control theory, namely the Fermat Rule and pseudo-convexity. Appropriate illustrative examples are presented

Author information

Contact details are reproduced from the original publication and may be historical.

Ewa Girejko

Faculty of Computer Science, Bialystok University of Technology, 15-351 Bialystok, Poland

e.girejko@pb.edu.pl

Dorota Mozyrska

Faculty of Computer Science, Bialystok University of Technology, 15-351 Bialystok, Poland

d.mozyrska@pb.edu.pl

Małgorzata Wyrwas

Faculty of Computer Science, Bialystok University of Technology, 15-351 Bialystok, Poland

m.wyrwas@pb.edu.pl

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Suggested citation

E. Girejko, D. Mozyrska, M. Wyrwas. “Contingent Epiderivatives of Functions on Time Scales.” Journal of Convex Analysis 18 (2011), No. 4, 1047–1064. https://doi.org/10.68381/jca18064

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Published by Heldermann Verlag, 2011. Rights now held by Banach Press LLC.