Stepanov Theorem for Mappings Between Metric Spaces
Abstract
ABSTRACT By combining the ideas of Kirchheim [ Proceedings of the American Mathematical Society 121, no. 1 (1994): 113–123] and Cheeger [ Geometric and Functional Analysis 9, no. 3 (1999): 428–517], a notion of metric differentiability for mappings between metric spaces was studied in Caamaño et al. [ Proceedings of the American Mathematical Society 153, no. 5 (2025): 2075–2088]. A Rademacher‐type theorem was introduced there, and this paper will study the validity of a Stepanov‐type theorem under the same assumptins.
Fields of Study & Subjects
Fixed Point Theorems Analysis
Optimization and Variational Analysis
Nonlinear Differential Equations Analysis
Publication details
- Journal / source
- Mathematische Nachrichten
- Volume
- 299
- Issue
- 8
- Pages
- 2242–2257
- Publication date
- 2 July 2026
- Language
- EN