Yosida approximation equations technique for system of generalized set-valued variational inclusions

摘要

In this paper, under the assumption with no continuousness, a new system of generalized variational inclusions in the Banach space is introduced. By using the Yosida approximation operator technique, the existence and uniqueness theorems for solving this kind of variational inclusion are established. MSC:49H09, 49J40, 49H10.