@article {
author = {Tahernia, Mohsen and Moradi, Sirous and Jafari, Somaye},
title = {A Proximal Point Algorithm for Finding a Common Zero of a Finite Family of Maximal Monotone Operators},
journal = {Sahand Communications in Mathematical Analysis},
volume = {16},
number = {1},
pages = {1-15},
year = {2019},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {10.22130/scma.2019.100821.542},
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},
url = {https://scma.maragheh.ac.ir/article_36660.html},
eprint = {https://scma.maragheh.ac.ir/article_36660_2dd27eb6ca24133e2c7b42b563bb1c1b.pdf}
}