- Title
- Set-valued orthogonality and nearness
- Creator
- Barbagallo, Annamaria; Ernst, Octavian; Théra, Michel
- Date
- 2020
- Type
- Text; Journal article
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/175942
- Identifier
- vital:15032
- Identifier
-
https://doi.org/10.1478/AAPP.98S2A2
- Identifier
- ISBN:0365-0359 (ISSN)
- Abstract
- The theory of set-valued mappings has grown with the development of modern variational analysis. It is a key in convex and non-smooth analysis, in game theory, in mathematical economics and in control theory. The concepts of nearness and orthogonality have been known for functions since the pioneering works of Campanato, Birkhoff and James. In a recent paper Barbagallo et al. [J. Math. Anal. Appl., 484 (1), (2020)] a connection between these two concepts has been made. This note is mainly devoted to introduce nearness and orthogonality between set-valued mappings with the goal to study the solvability of generalized equations involving set-valued mappings. © 2020 Accademia Peloritana dei Pericolanti. All rights reserved.
- Publisher
- Accademia Peloritana dei Pericolanti
- Relation
- AAPP Atti della Accademia Peloritana dei Pericolanti, Classe di Scienze Fisiche, Matematiche e Naturali Vol. 98, no. (2020), p.; http://purl.org/au-research/grants/arc/DP160100854
- Rights
- All metadata describing materials held in, or linked to, the repository is freely available under a CC0 licence
- Rights
- https://creativecommons.org/licenses/by/4.0/
- Rights
- Copyright © 2020 by the author(s); licensee Accademia Peloritana dei Pericolanti (Messina, Italy). This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0/).
- Rights
- Open Access
- Subject
- MD Multidisciplinary
- Full Text
- Reviewed
- Funder
- Research of M. Théra is supported by the Australian Research Council (ARC) grant DP160100854 and benefited from the support of the FMJH Program PGMO and from the support of EDF.
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