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A Proximal Point Algorithm For Finding A Common Zero of A Finite Family of Maximal Monotone Operators
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نویسنده
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Tahernia Mohsen ,Moradi Sirous ,Jafari Somaye
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منبع
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Sahand Communications In Mathematical Analysis - 2019 - دوره : 16 - شماره : 1 - صفحه:1 -15
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چکیده
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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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کلیدواژه
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Maximal Monotone Operator ,Proximal Point Algorithm ,Nonexpansive Map ,Resolvent Operator
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آدرس
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Arak University, Faculty Of Science, Department Of Mathematics, Iran, Arak University, Faculty Of Science, Department Of Mathematics, Iran. Lorestan University, Department Of Mathematics, Iran, Arak University, Faculty Of Science, Department Of Mathematics, Iran
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پست الکترونیکی
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s.jafari.math@gmail.com
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Authors
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