  This paper explores the role of nonlinear electrodynamics on the stable
configuration of thin-shell wormholes formulated from two equivalent geometries
of Reissner-Nordstr\"om black hole with nonlinear electrodynamics. For this
purpose, we use cut and paste approach to eliminate the central singularity and
event horizons of the black hole geometry. Then, we explore the stability of
the developed model by considering different types of matter distribution
located at thin-shell, i.e., barotropic model and variable equations of state
(phantomlike variable and Chaplygin variable models). We use linearized radial
perturbation to explore the stable characteristics of thin-shell wormholes. It
is interesting to mention that Schwarzschild and Reissner-Nordstr\"om black
holes show the unstable configuration for such type of matter distribution
while Reissner-Nordstr\"om black hole with nonlinear electrodynamics expresses
stable regions. It is found that the presence of nonlinear electrodynamics
gives the possibility of a stable structure for barotropic as well as variable
models. It is concluded that stable region increases for these models by
considering higher negative values of coupling constant $\alpha$ and the real
constant $n$.
