commutative semigroup造句

• In 1982 , a weak convergence theorem for nonexpensive semigroups in uniformly convex banach space was first established by miyadera and kobaysi and it was generalized to that for commutative semigroup of asymptotically nonexpansive mappings by oka [ 15 ] . feathers and dotson [ 16 ] and bose [ 1 ] gave the weak convergence theorem of asymptotically nonexpansive mappings in a uniformly convex banach space with weak continuous duality mapping by using opial ' s lemma [ 17 ]
  也正是由miyadera和kobayasi于1982年首次在一致凸banach空中给出了非扩张半群的弱收敛定理，随后，由okaf15 ]把此弱收敛定理推广到交换半群的渐近非扩张映照。