A New Exceptional Family of Elements and Solvability of General Order Complementarity Problems

By using the concept of exceptional family, we propose a sufficient condition of a solution to general order complementarity problems (denoted by GOCP) in Banach space, which is weaker than that in Németh, 2010 (Theorem 3.1). Then we study some sufficient conditions for the nonexistence of exception...

Descripción completa

Detalles Bibliográficos
Autores principales: Huang, Na, Ma, Changfeng
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4055664/
https://www.ncbi.nlm.nih.gov/pubmed/24967426
http://dx.doi.org/10.1155/2014/248462
_version_ 1782320700059549696
author Huang, Na
Ma, Changfeng
author_facet Huang, Na
Ma, Changfeng
author_sort Huang, Na
collection PubMed
description By using the concept of exceptional family, we propose a sufficient condition of a solution to general order complementarity problems (denoted by GOCP) in Banach space, which is weaker than that in Németh, 2010 (Theorem 3.1). Then we study some sufficient conditions for the nonexistence of exceptional family for GOCP in Hilbert space. Moreover, we prove that without exceptional family is a sufficient and necessary condition for the solvability of pseudomonotone general order complementarity problems.
format Online
Article
Text
id pubmed-4055664
institution National Center for Biotechnology Information
language English
publishDate 2014
publisher Hindawi Publishing Corporation
record_format MEDLINE/PubMed
spelling pubmed-40556642014-06-25 A New Exceptional Family of Elements and Solvability of General Order Complementarity Problems Huang, Na Ma, Changfeng ScientificWorldJournal Research Article By using the concept of exceptional family, we propose a sufficient condition of a solution to general order complementarity problems (denoted by GOCP) in Banach space, which is weaker than that in Németh, 2010 (Theorem 3.1). Then we study some sufficient conditions for the nonexistence of exceptional family for GOCP in Hilbert space. Moreover, we prove that without exceptional family is a sufficient and necessary condition for the solvability of pseudomonotone general order complementarity problems. Hindawi Publishing Corporation 2014 2014-05-22 /pmc/articles/PMC4055664/ /pubmed/24967426 http://dx.doi.org/10.1155/2014/248462 Text en Copyright © 2014 N. Huang and C. Ma. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Huang, Na
Ma, Changfeng
A New Exceptional Family of Elements and Solvability of General Order Complementarity Problems
title A New Exceptional Family of Elements and Solvability of General Order Complementarity Problems
title_full A New Exceptional Family of Elements and Solvability of General Order Complementarity Problems
title_fullStr A New Exceptional Family of Elements and Solvability of General Order Complementarity Problems
title_full_unstemmed A New Exceptional Family of Elements and Solvability of General Order Complementarity Problems
title_short A New Exceptional Family of Elements and Solvability of General Order Complementarity Problems
title_sort new exceptional family of elements and solvability of general order complementarity problems
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4055664/
https://www.ncbi.nlm.nih.gov/pubmed/24967426
http://dx.doi.org/10.1155/2014/248462
work_keys_str_mv AT huangna anewexceptionalfamilyofelementsandsolvabilityofgeneralordercomplementarityproblems
AT machangfeng anewexceptionalfamilyofelementsandsolvabilityofgeneralordercomplementarityproblems
AT huangna newexceptionalfamilyofelementsandsolvabilityofgeneralordercomplementarityproblems
AT machangfeng newexceptionalfamilyofelementsandsolvabilityofgeneralordercomplementarityproblems

Ejemplares similares