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We denote the solution set for VI by.

We denote the solution set of (LVQEPLEC) by (mathbf{S}_{F}).

We denote the solution set of (1.3) by (EP(F_{2})).

We denote the solution set of MVIP by SOL ( ϕ, B 1 ).

To stress the dependence on the initial data, we denote the solution by (X x)).

For each, we denote the solution map of (PWVVI) by, that is, (1.1).

We denote the solutions of the equation (t^{2}+ n-2 t-tau_{Omega}=0) by (alpha_{Omega}), (-bet^{2}+ n-2 t-tau_{Omega}=0}), (bet^{2}+ n-2 t-tau_{Omega}=0delta_{Omega}) for (alpha_{Omega}+bytalpha_{Omega}

Since is a degenerate positive solution of (1.1), we denote the corresponding solution of (2.7) by.

We will denote the solution set of VIP by (VI(A, C)).

end{aligned} (4.2) We will denote the solution set of a split equality mixed variational inequality problem by (SEMVIP phi,varphi)).

We denote the unique solution by p.