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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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/248462 |
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| _version_ | 1832545754643693568 |
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| author | Na Huang Changfeng Ma |
| author_facet | Na Huang Changfeng Ma |
| author_sort | Na Huang |
| collection | DOAJ |
| 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 | Article |
| id | doaj-art-f98b864e62b4493d968eb41aad1b2ab9 |
| institution | Kabale University |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-f98b864e62b4493d968eb41aad1b2ab92025-02-03T07:24:56ZengWileyThe 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 |
| spellingShingle | Na Huang Changfeng Ma A New Exceptional Family of Elements and Solvability of General Order Complementarity Problems The Scientific World Journal |
| 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 |
| url | http://dx.doi.org/10.1155/2014/248462 |
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