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

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In this paper, we introduce a new class of multi-valued mappings in a Hilbert space, called \((k,\lambda )\)-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.