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

الملخص EN

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 F to a certain variational inequality, where F:=∩n=0∞F(Tn) stands for the common fixed-point set of the family of multivalued nonexpansive mapping {Tn}.