TY - JOUR
ID - 36660
TI - A Proximal Point Algorithm for Finding a Common Zero of a Finite Family of Maximal Monotone Operators
JO - Sahand Communications in Mathematical Analysis
JA - SCMA
LA - en
SN - 2322-5807
AU - Tahernia, Mohsen
AU - Moradi, Sirous
AU - Jafari, Somaye
AD - Department of Mathematics, Faculty of Science, Arak University, 38156-8-8349, Arak, Iran.
Y1 - 2019
PY - 2019
VL - 16
IS - 1
SP - 1
EP - 15
KW - Maximal monotone operator
KW - Proximal point algorithm
KW - Nonexpansive map
KW - Resolvent operator
DO - 10.22130/scma.2019.100821.542
N2 - 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.
UR - https://scma.maragheh.ac.ir/article_36660.html
L1 - https://scma.maragheh.ac.ir/article_36660_2dd27eb6ca24133e2c7b42b563bb1c1b.pdf
ER -