Strongly regular points of mappings-Reference-Cited by-同舟云学术

Strongly regular points of mappings

Published:2021-09-06 Issue:1 Volume:2021 Page:
ISSN:2730-5422
Container-title:Fixed Point Theory and Algorithms for Sciences and Engineering
language:en
Short-container-title:Fixed Point Theory Algorithms Sci Eng

Author:

Abbasi Malek,Théra Michel^ORCID

Abstract

AbstractIn 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.

Funder

PGMO

Publisher

Springer Science and Business Media LLC

Link

https://link.springer.com/content/pdf/10.1186/s13663-021-00699-z.pdf

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