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 onx. 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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