  We consider the problem of removal of ordering ambiguity in position
dependent mass quantum systems characterized by a generalized position
dependent mass Hamiltonian which generalizes a number of Hermitian as well as
non-Hermitian ordered forms of the Hamiltonian. We implement point canonical
transformation method to map one-dimensional time-independent position
dependent mass Schr$\"{o}$dinger equation endowed with potentials onto constant
mass counterparts which are considered to be exactly solvable. We observe that
a class of mass functions and the corresponding potentials give rise to
solutions that do not depend on any particular ordering, leading to the removal
of ambiguity in it. In this case, it is imperative that the ordering is
Hermitian. For non-Hermitian ordering we show that the class of systems can
also be exactly solvable and are also shown to be iso-spectral using suitable
similarity transformations. We also discuss the normalization of the
eigenfunctions obtained from both Hermitian and non-Hermitian orderings. We
illustrate the technique with the quadratic Li$\'{e}$nard type nonlinear
oscillators, which admit position dependent mass Hamiltonians.
