Strong vector F-implicit complementarity problems and corresponding variational inequalities

Huang Jian-hua · Fuzhou daxue xuebao. Ziran kexue ban · 2008

We introduce several classes of strong verctor F-implicit complementarity problems,which entend and unify the existing vector variational inequalities and vector complementarity problem.We also discuss the equivalence between the strong vector F-implicit complementarity problems and corresponding vector F-implicit variational inequalities in Banach spaces.Furthermore,we prove some new existence theorems of solutions under some suitable assumptions.

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