The Stepanov theorem for Q-valued functions
In this work we prove the Stepanov differentiation theorem for multiple-valued functions. This theorem is proved in the wide generality of metric-space-multiple-valued functions without relying on a Lipschitz extension result. General definitions of differentiability and approximate differentiability for functions between suitable metric spaces are also introduced.
Authors
- Patrizia Donato (ORCID: https://orcid.org/0000-0003-3251-0526)
Institutions
- University of Padua (IT)
Publication Details
- Journal
- Annales Fennici Mathematici
- Published
- 2025-06-21
- DOI
- https://doi.org/10.54330/afm.162970
- Primary Topic
- Fixed Point Theorems Analysis
- Type
- article
- Field-Weighted Citation Impact
- 0.00