  This paper devotes to studying abstract stochastic evolution equations in
M-type 2 Banach spaces. First, we handle nonlinear evolution equations with
multiplicative noise. The existence and uniqueness of local and global mild
solutions under linear growth and Lipschitz conditions on coefficients are
presented. The regular dependence of solutions on initial data is also studied.
Second, we investigate linear evolution equations with additive noise. The
existence and uniqueness of strict and mild solutions and their regularity are
shown. Finally, we explore semilinear evolution equations with additive noise.
We concentrate on the existence, uniqueness and regular dependence of solutions
on initial data.

Probability