Convergence theorem for a finite family of asymptotically demicontractive multi-valued mappings in CAT(0) spaces

In this paper, we introduce the class of asymptotically demicontractive multivalued mappings and establish a strong convergence theorem of the modified Mann iteration to a common fixed point of a finite family of asymptotically demicontractive multivalued mappings in a complete {\mathrm{CAT}(0)} space. We also give a numerical example of our iterative method to show its applicability.