Common Fixed-Point Problem for a Family Multivalued Mapping in Banach Space

It is our purpose in this paper to prove two convergents of viscosity approximation scheme to a common fixed point of a family of multivalued nonexpansive mappings in Banach spaces. Moreover, it is the unique solution in to a certain variational inequality, where ∶=∩∞=0() stands for the common fixed-point set of the family of multivalued nonexpansive mapping {}.