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(i)In the case of (:the zero mapping), then the generalized mixed equilibrium problem (1.9) is reduced to the mixed equilibrium problem.
which is called the mixed equilibrium problem.
which is called the mixed equilibrium problem; see [1].
Now we consider the mixed equilibrium problem (3.27).
The mixed equilibrium problem is to find such that (1.5).
We consider the following generalized mixed equilibrium problem.
Now we consider the following mixed equilibrium problem: (1.1).
which is called the mixed equilibrium problem (MEP) [1].
Ceng and Yao [1] considered the following mixed equilibrium problem.
It is clear that the general mixed equilibrium problem (1.2) is very different from the above generalized mixed equilibrium problem.
If B = 0, then the generalized mixed equilibrium problem (1.1) becomes the following mixed equilibrium problem: Finding x ∈ C such that F ( x, y ) + φ ( y ) ≥ φ ( x ).
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