Ergodic Convergence of the Double Backward Method for Monotone Operators

Journal Article

Xu, • N. Altwaijry, S. Chebbi, and H.K. . 2015

• المجلة \ الصحيفة: Journal of Nonlinear and Convex Analysis

مستخلص المنشور

The double backward method for nding zeros of the sum of two
maximal monotone operators is investigated. This method was initially intro-
duced by Passty in 1979 who used an equal index to the resolvents of both oper-
ators. In this paper, we use distinct indices in order to see different roles played
by the two operators in the double backward method. Under certain conditions
on the indices, we prove the ergodic convergence of our method.