ERGODIC CONVERGENCE OF THE DOUBLE BACKWARD METHOD FOR MONOTONE OPERATORS

作者：Altwaijry, Najla; Chebbi, Souhail; Xu, Hong-Kun^*

来源：Journal of Nonlinear and Convex Analysis, 2015, 16(7): 1195-1204.

• Maximal monotone operator
• resolvent
• double backward method
• ergodic convergence

The double backward method for finding zeros of the sum of two maximal monotone operators is investigated. This method was initially introduced by Passty in 1979 who used an equal index to the resolvents of both operators. 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.

• 出版日期2015
• 单位杭州电子科技大学