Title of article
A Proximal Point Algorithm for Finding a Common Zero of a Finite Family of Maximal Monotone Operators
Author/Authors
Tahernia ، Mohsen - Arak University , Moradi ، Sirous - Arak University , Jafari ، Somaye - Arak University
Pages
15
From page
1
To page
15
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
Journal title
Sahand Communications in Mathematical Analysis
Serial Year
2019
Journal title
Sahand Communications in Mathematical Analysis
Record number
2454936
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