- Title
- Strongly regular points of mappings
- Creator
- Abbasi, Malek; Théra, Michel
- Date
- 2021
- Type
- Text; Journal article
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/179711
- Identifier
- vital:15638
- Identifier
-
https://doi.org/10.1186/s13663-021-00699-z
- Identifier
- ISBN:1687-1820 (ISSN)
- Abstract
- In this paper, we use a robust lower directional derivative and provide some sufficient conditions to ensure the strong regularity of a given mapping at a certain point. Then, we discuss the Hoffman estimation and achieve some results for the estimate of the distance to the set of solutions to a system of linear equalities. The advantage of our estimate is that it allows one to calculate the coefficient of the error bound. © 2021, The Author(s).
- Publisher
- Springer Nature
- Relation
- Fixed Point Theory and Algorithms for Sciences and Engineering Vol. 2021, no. 1 (Journal article 2021), p.
- Rights
- All metadata describing materials held in, or linked to, the repository is freely available under a CC0 licence
- Rights
- Copyright © The Author(s) 2021.
- Rights
- Open Access
- Subject
- 0101 Pure Mathematics; 0102 Applied Mathematics; Error bound; Hadamard directional derivative; Hoffman estimate; Lyusternik theorem; Regular point
- Full Text
- Reviewed
- Funder
- This research benefited from the support of the FMJH Program PGMO and from the support of EDF.
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