On Set-Valued Complementarity Problems
This paper investigates the set-valued complementarity problems (SVCP) which poses rather different features from those that classical complementarity problems hold, due to tthe fact that he index set is not fixed, but dependent on . While comparing the set-valued complementarity problems with the c...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/105930 |
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| _version_ | 1850120541370843136 |
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| author | Jinchuan Zhou Jein-Shan Chen Gue Myung Lee |
| author_facet | Jinchuan Zhou Jein-Shan Chen Gue Myung Lee |
| author_sort | Jinchuan Zhou |
| collection | DOAJ |
| description | This paper investigates the set-valued complementarity problems (SVCP)
which poses rather different features from those that classical complementarity problems
hold, due to tthe fact that he index set is not fixed, but dependent on . While comparing the
set-valued complementarity problems with the classical complementarity problems, we
analyze the solution set of SVCP. Moreover, properties of merit functions for SVCP are studied, such being as level bounded and error bounded. Finally, some possible research
directions are discussed. |
| format | Article |
| id | doaj-art-602ac82f1dd441d79664d0c00ee5abc9 |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-602ac82f1dd441d79664d0c00ee5abc92025-08-20T02:35:21ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/105930105930On Set-Valued Complementarity ProblemsJinchuan Zhou0Jein-Shan Chen1Gue Myung Lee2Department of Mathematics, School of Science, Shandong University of Technology, Zibo 255049, ChinaDepartment of Mathematics, National Taiwan Normal University, Taipei 11677, TaiwanDepartment of Applied Mathematics, Pukyong National University, Busan 608-737, Republic of KoreaThis paper investigates the set-valued complementarity problems (SVCP) which poses rather different features from those that classical complementarity problems hold, due to tthe fact that he index set is not fixed, but dependent on . While comparing the set-valued complementarity problems with the classical complementarity problems, we analyze the solution set of SVCP. Moreover, properties of merit functions for SVCP are studied, such being as level bounded and error bounded. Finally, some possible research directions are discussed.http://dx.doi.org/10.1155/2013/105930 |
| spellingShingle | Jinchuan Zhou Jein-Shan Chen Gue Myung Lee On Set-Valued Complementarity Problems Abstract and Applied Analysis |
| title | On Set-Valued Complementarity Problems |
| title_full | On Set-Valued Complementarity Problems |
| title_fullStr | On Set-Valued Complementarity Problems |
| title_full_unstemmed | On Set-Valued Complementarity Problems |
| title_short | On Set-Valued Complementarity Problems |
| title_sort | on set valued complementarity problems |
| url | http://dx.doi.org/10.1155/2013/105930 |
| work_keys_str_mv | AT jinchuanzhou onsetvaluedcomplementarityproblems AT jeinshanchen onsetvaluedcomplementarityproblems AT guemyunglee onsetvaluedcomplementarityproblems |