On Set-Valued Complementarity Problems
Author(s) -
Jinchuan Zhou,
Jein-Shan Chen,
Gue Myung Lee
Publication year - 2013
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2013/105930
Subject(s) - complementarity (molecular biology) , mathematics , bounded function , combinatorics , discrete mathematics , mathematical analysis , biology , genetics
This paper investigates the set-valued complementarity problems (SVCP)which poses rather different features from those that classical complementarity problemshold, due to tthe fact that he index set is not fixed, but dependent on . While comparing theset-valued complementarity problems with the classical complementarity problems, weanalyze 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 researchdirections are discussed
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