Document Type : Research Paper
1 Department of Mathematics, Faculty of Science, Arak University, 38156-8-8349, Arak, Iran.
2 Department of Mathematics, Lorestan University, P.O. Box 465, Khoramabad, Iran.
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.
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