Properties of the solution set of a class of mixed variational inqualities. (English) Zbl 1511.90395
A class of mixed variational inequalities is established on nonempty closed convex subsets of real Euclidean spaces. One of the mappings involved is lower semicontinuous and the other is weakly homogeneous. Two new results on the nonemptiness and compactness of the solution set of the problem are established, and some examples are used to compare the results with those in the literature. It can be seen that new results improve some known related results.
Reviewer: Yisheng Song (Hong Kong)
MSC:
| 90C33 | Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) |
Keywords:
mixed variational inequalities; nonemptiness and compactness; solution set; weakly homogeneous mappingsReferences:
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