University of MaraghehSahand Communications in Mathematical Analysis2322-580716120191001A Proximal Point Algorithm for Finding a Common Zero of a Finite Family of Maximal Monotone Operators1153666010.22130/scma.2019.100821.542ENMohsenTaherniaDepartment of Mathematics, Faculty of Science, Arak University, 38156-8-8349, Arak, Iran.SirousMoradiDepartment of Mathematics, Faculty of Science, Arak University, 38156-8-8349, Arak, Iran.Department of Mathematics, Lorestan University, P.O. Box 465, Khoramabad, Iran.SomayeJafariDepartment of Mathematics, Faculty of Science, Arak University, 38156-8-8349, Arak, Iran.Journal Article20190101In 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.https://scma.maragheh.ac.ir/article_36660_2dd27eb6ca24133e2c7b42b563bb1c1b.pdf