  In this paper, optimal convergence for an adaptive finite element algorithm
for elastoplasticity is considered. To this end, the proposed adaptive
algorithm is established within the abstract framework of the axioms of
adaptivity [Comput. Math. Appl., 67(6) (2014), 1195-1253], which provides a
specific proceeding to prove the optimal convergence of the scheme. The
proceeding is based on verifying four axioms, which ensure the optimal
convergence. The verification is done by using results from [Numer. Math.,
132(1) (2016), 131-154], which presents an alternative approach to optimality
without explicitly relying on the axioms.
