On split null point and common fixed point problems for multivalued demicontractive mappings

In this paper, we introduce a new viscosity iterative method for solving the split null point and common fixed point problems for maximal monotone operators and multivalued demicontractive mappings in Hilbert spaces, and we obtain some strong convergence results under some suitable assumptions. As applications, we apply our results to the split feasibility problem and the split minimization problem. The results obtained in this paper generalize and improve the recent ones announced by many authors.

Automated summary

This paper introduces a new viscosity iterative method for solving the split null point and common fixed point problems for maximal monotone operators and multivalued demicontractive mappings in Hilbert spaces, and obtains some strong convergence results under suitable assumptions. The results are applied to the split feasibility problem and split minimization problem, and generalize and improve upon recent findings by other authors.