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A unifying approach to variational relation problems. (English) Zbl 1268.49006

The authors establish existence results for two types of variational relation problems, unified in a single variational relation problem, by applying two well-known fixed-point theorems and a new concept of relation of \(KKM\)-type. This approach includes several equilibrium problems, variational inequalities and variational inclusions studied in the recent literature.
Reviewer: Rita Pini (Milano)

MSC:

49J40 Variational inequalities
49J53 Set-valued and variational analysis
47H10 Fixed-point theorems
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