In this paper, we study Fréchet vector subdifferentials of vector-valued functions in normed spaces which reduce to the known ones of extended-real-valued functions. We establish relations between two kinds of Fréchet vector subdifferentials and between subdifferential and coderivative; some of them improve the existing relations for extended-real-valued functions. Finally, sum and chain rules among others for Fréchet subdifferentials of vector-valued functions are formulated and verified. Many examples are provided.
Fréchet vector subdifferential calculus
Bao, Truong Quang
Abstract
carpathian_2020_36_1_15_26_abstractFull PDF
carpathian_2020_36_1_15_26Additional Information
| Author(s) | Bao, Truong Quang |
|---|---|
| DOI | https://doi.org/10.37193/CJM.2020.01.02 |
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