What is it about?
The metric derivative of the set-valued function is a generalization of single-valued function.
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Why is it important?
By our definition of a metric derivative for set-valued mapping can be shown that every of Lipschitz continuous set-valued mapping is everywhere metrically differentiable. This result can be regarded as a generalization of Radmacher's theorems.
Perspectives
Writing this article was to support my desire to find differentiation of set-valued mapping on abstract metric spaces.
Dr. Mohamad Muslikh
Universitas Brawijaya
Read the Original
This page is a summary of: The metric derivative of set-valued functions, Advances in Pure and Applied Mathematics, July 2019, De Gruyter,
DOI: 10.1515/apam-2018-0028.
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