Convergence theorems for a finite family of multi-valued strictly pseudo-hybrid mappings in Hilbert spaces

摘要

In this paper, we introduce a new class of multi-valued mappings in a Hilbert space, called (k, λ)-strictly pseudo-hybrid. We establish weak and strong convergence of one-step iterative method to a common fixed point of a finite family of those multi-valued mappings in a Hilbert space. Our results extend many known recent results in the literature.