The effect of the superiorization on convergence of some discrete versions of the rst-order evolution equation

In this paper, the convergence rate for a discrete version of the rst-order evolution equation by backward Euler discretization has been studied. We compare the superiorization methodology (SM) with the classical algorithms like Mann, Ishikawa and the proximal point algorithm in [1], and the advantage of the proposed algorithm via its convergence rates will be shown.

Keywords:

Superiorization , Evolution equation , Asymptotic behavior , Proximal point algorithm.