Mohsen Hoseini - Department of Mathematics, University of Kurdistan, Sanandaj ۴۱۶, Kurdistan, Iran
Shahram Saeidi - Department of Mathematics, University of Kurdistan, Sanandaj ۴۱۶, Kurdistan, Iran

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.

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