Vector F-Implicit Complementarity Problems Involving Set-Valued Mappings
Jun Li · Journal of China West Normal University · 2007
A new kind of vector F-implicit complementarity problems(GVF-ICP) and vector F-implicit variational inequality problems(GVF-IVIP) involving set-valued mappings are introduced in real Banach spaces.The equivalence between GVF-ICP and GVF-IVIP is then established under certain assumptions.By using the existence result of VF-ICP and VF-IVIP with single-valued mappings and the continuous selection theorem due to Ding,Kim and Tan,solution existence for GVF-ICP and GVF-IVIP is derived under suitable assumptions.The results obtained in this paper extend the corresponding results of others.