Hybrid projection algorithm concerning split equality fixed point problem for quasi-pseudo-contractive mappings with application to optimization problem

The purpose of this paper is by using the shrinking projection method to study the split equality fixed point problem for a class of quasi-pseudo-contractive mappings in the setting of Hilbert spaces. Under suitable conditions, some strong convergence theorems are obtained. As applications, we utilize the results presented in the paper to study the existence problem of solutions to the split equality variational inequality problem and the split equality convex minimization problem. The results presented in our paper extend and improve some recent results.