Nonzero solutions for a class of set-valued variational inequalities in reflexive Banach spaces. (English) Zbl 1145.49301
Summary: We study the existence of nonzero solutions for a class of set-valued variational inequalities involving set-contractive mappings by using the fixed point index approach in reflexive Banach spaces. Some new existence theorems of nonzero solutions for this class of set-valued variational inequalities are established.
MSC:
| 49J40 | Variational inequalities |
Keywords:
set-valued variational inequality; nonzero solutions; fixed point index; set-contractive mapping; upper hemicontinuousReferences:
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