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

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...

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Main Authors: Na Huang, Changfeng Ma
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:The Scientific World Journal
Online Access:http://dx.doi.org/10.1155/2014/248462
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spelling doaj-f98b864e62b4493d968eb41aad1b2ab92020-11-25T01:14:09ZengHindawi LimitedThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/248462248462A New Exceptional Family of Elements and Solvability of General Order Complementarity ProblemsNa Huang0Changfeng Ma1School of Mathematics and Computer Science, Fujian Normal University, Fuzhou 350007, ChinaSchool of Mathematics and Computer Science, Fujian Normal University, Fuzhou 350007, ChinaBy 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.http://dx.doi.org/10.1155/2014/248462
collection DOAJ
language English
format Article
sources DOAJ
author Na Huang
Changfeng Ma
spellingShingle Na Huang
Changfeng Ma
A New Exceptional Family of Elements and Solvability of General Order Complementarity Problems
The Scientific World Journal
author_facet Na Huang
Changfeng Ma
author_sort Na Huang
title 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_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_sort new exceptional family of elements and solvability of general order complementarity problems
publisher Hindawi Limited
series The Scientific World Journal
issn 2356-6140
1537-744X
publishDate 2014-01-01
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.
url http://dx.doi.org/10.1155/2014/248462
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AT nahuang newexceptionalfamilyofelementsandsolvabilityofgeneralordercomplementarityproblems
AT changfengma newexceptionalfamilyofelementsandsolvabilityofgeneralordercomplementarityproblems
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