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.

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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
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article

The Stepanov theorem for Q-valued functions

Patrizia Donato
Annales Fennici Mathematici
Fixed Point Theorems Analysis
article

The Stepanov theorem for Q-valued functions

Patrizia Donato
article en

Abstract

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.

Annales Fennici MathematiciVol. 50(1)
University of Padua (IT)
Openalex Percentile: Top 80%
Fixed Point Theorems Analysis
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The Stepanov theorem for Q-valued functions — Patrizia Donato · Annales Fennici Mathematici (2025) | TGRS Research Map | TGRS