  The present paper is devoted to the study of the well-posedness of a type of
BSDEs with triangularly quadratic generators. This work is motivated by the
recent results obtained by Hu and Tang [14] and Xing and \v{Z}itkovi\'{c} [28].
By the contraction mapping argument, we first prove that this type of
triangularly quadratic BSDEs admits a unique local solution on a small time
interval whenever the terminal value is bounded. Under additional assumptions,
we build the global solution on the whole time interval by stitching local
solutions. Finally, we give solvability results when the generators have path
dependence in value process.
