Higher-order error bound for the difference of two functions

Error bounds play an important role in the research of mathematical programming. Using some techniques of nonsmooth analysis, we establish some results on the existence of higher-order error bounds for difference functions with set constraints.

Detalles Bibliográficos
Autores principales: Huang, Hui, Xia, Mengxue
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6208616/
https://www.ncbi.nlm.nih.gov/pubmed/30839772
http://dx.doi.org/10.1186/s13660-018-1883-8
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author Huang, Hui
Xia, Mengxue
author_facet Huang, Hui
Xia, Mengxue
author_sort Huang, Hui
collection PubMed
description Error bounds play an important role in the research of mathematical programming. Using some techniques of nonsmooth analysis, we establish some results on the existence of higher-order error bounds for difference functions with set constraints.
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spelling pubmed-62086162018-11-09 Higher-order error bound for the difference of two functions Huang, Hui Xia, Mengxue J Inequal Appl Research Error bounds play an important role in the research of mathematical programming. Using some techniques of nonsmooth analysis, we establish some results on the existence of higher-order error bounds for difference functions with set constraints. Springer International Publishing 2018-10-23 2018 /pmc/articles/PMC6208616/ /pubmed/30839772 http://dx.doi.org/10.1186/s13660-018-1883-8 Text en © The Author(s) 2018 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Huang, Hui
Xia, Mengxue
Higher-order error bound for the difference of two functions
title Higher-order error bound for the difference of two functions
title_full Higher-order error bound for the difference of two functions
title_fullStr Higher-order error bound for the difference of two functions
title_full_unstemmed Higher-order error bound for the difference of two functions
title_short Higher-order error bound for the difference of two functions
title_sort higher-order error bound for the difference of two functions
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6208616/
https://www.ncbi.nlm.nih.gov/pubmed/30839772
http://dx.doi.org/10.1186/s13660-018-1883-8
work_keys_str_mv AT huanghui higherordererrorboundforthedifferenceoftwofunctions
AT xiamengxue higherordererrorboundforthedifferenceoftwofunctions

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