In this article, Phillips-type Bernstein operators
(
ℬ
m
,
q
t
F
)
(
t
,
s
)
({{\mathcal{ {\mathcal B} }}}_{m,q}^{t}F)\left(t,s)
and
(
ℬ
n
,
q
s
F
)
(
t
,
s
)
({{\mathcal{ {\mathcal B} }}}_{n,q}^{s}F)\left(t,s)
, their products, and Boolean sum based on q-integer have been studied on a triangle with all curved sides. Furthermore, convergence of iterates of these operators have been analyzed using the weakly Picard operators technique and the contraction principle.