It is known that some classes of m m -accretive operators A A generate Lipschitz continuous semigroups of contractions; that is | | S ( t + h ) x − S ( t ) x | | ⩽ L ( | | x | | ) h / t , 0 ⩽ t ⩽ t + h ⩽ T , x ∈ D ( A ) ¯ ||S(t + h)x - S(t)x|| \leqslant L(||x||)h/t,0 \leqslant t \leqslant t + h \leqslant T,x \in \overline {D(A)} . If the underlying Banach spaces X X and X ∗ {X^*} are uniformly convex and an m m -accretive operator B B is bounded, we prove, in particular, that the semigroup generated by A + B A + B is Hölder continuous. The proof is based on a result on the structure of accretive operators obtained via the Kuratowski-Ryll-Nardzewski Selection Theorem. Also, we consider some applications of these results to the existence of solutions of u ′ + A u + B u ∍ C u , u ( 0 ) = u 0 u’ + Au + Bu \backepsilon Cu,u(0) = {u_0} .