Projection methods for quasi-nonexpansive multivalued mappings in Hilbert spaces.

This paper proposes a modified D-iteration to approximate the solutions of three quasinonexpansive multivalued mappings in a real Hilbert space. Due to the incorporation of an inertial step in the iteration, the sequence generated by the modified method converges faster to the common fixed point of the mappings. Furthermore, the generated sequence strongly converges to the required solution using a shrinking technique. Numerical results obtained indicate that the proposed iteration is computationally effcient and outperforms the standard forward-backward with inertial step. [ABSTRACT FROM AUTHOR]