(III) Split equality feasibility problems.
Also, we give some corollaries and applications for the split equality problem, the split feasibility problem, the split equality mixed convex differentiable optimization problem, the split equality convex minimization problem, and the split equality mixed equilibrium problem.
Problem (1.19) is called a split equality convex minimization problem.
As applications, we employ our results to study the convergence results for the split equality convex differentiable optimization problem, the split equality convex minimization problem, and the split equality mixed equilibrium problem.
As applications, we employ our results to get the convergence results for the split equality convex differentiable optimization problem, the split equality convex minimization problem, and the split equality mixed equilibrium problem.
Also, we studied the split equality generalized equilibrium problem (1.17), which is a more general problem than the split equality problem (1.9), the split equality mixed equilibrium problem (1.15), etc.
As application, we shall utilize our results to study the split equality mixed variational inequality problem and the split equality convex minimization problem.
The split equality problem is a generalization of the split feasibility problem, meanwhile it is a special case of multiple-sets split equality problems.
It is easy to see that the split equality mixed equilibrium problem (1.12) reduces to the split equality convex minimization problem (1.13) as (F=0) and (G=0).
By using Theorem 3.3 and Theorem 4.1, now we give some corollaries for the split equality feasibility problem, the split equality equilibrium problem, and the split optimization problem.
Now we present a hybrid projected Landweber algorithm to study the split equality problem.
