Fixed point, almost fixed point and best approximation of nonexpansive multivalued mapping in Banach spaces

摘要

We obtained sufficient conditions for the existence of fixed point, almost fixed point and best approximation of *-nonexpansive multivalued map defined on a nonconvex unbounded subset of a Banach spaces (as well as a hyperconvex space). Random version of several results is also proved. Our results generalize and extend several known results, both in deterministics and random cases.