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Variational Convexity of Functions in Banach Spaces
- Publication Year :
- 2022
-
Abstract
- This paper addresses the study and characterizations of variational convexity of extended-real-valued functions on Banach spaces. This notion has been recently introduced by Rockafellar, and its importance has been already realized and applied to continuous optimization problems in finite-dimensional spaces. Variational convexity in infinite-dimensional spaces, which is studied here for the first time, is significantly more involved and requires the usage of powerful tools of geometric functional analysis together with variational analysis and generalized differentiation in Banach spaces.
- Subjects :
- Mathematics - Optimization and Control
49J52, 49J53, 46B20, 46B10, 46A55
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2212.06945
- Document Type :
- Working Paper