A Proximal Point Algorithm for Finding a Common Zero of a Finite Family of Maximal Monotone Operators

Author(s):

Mohsen Tahernia , Sirous Moradi * , Somaye Jafari

Message:
Article Type:
Research/Original Article (بدون رتبه معتبر)
Abstract:
In this paper, we consider a proximal point algorithm for finding a common zero of a finite family of maximal monotone operators in real Hilbert spaces. Also, we give a necessary and sufficient condition for the common zero set of finite operators to be nonempty, and by showing that in this case, this iterative sequence converges strongly to the metric projection of some point onto the set of common zeros of operators.
Keywords:

Maximal monotone operator , Proximal point algorithm , Nonexpansive map , Resolvent operator

Language:
English
Published:
Sahand Communications in Mathematical Analysis, Volume:16 Issue: 1, Autumn 2019
Pages:
1 to 15
https://www.magiran.com/p2032440