General Proximal-Point Algorithm for Monotone Operators

We introduce a new general proximal-point algorithm for an infinite family of monotone operators in a real Hilbert space and establish strong convergence of the iterative process to a common null point of the infinite family of monotone operators. Our result generalizes and improves numerous results...

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Bibliographic Details
Published in:Ukrainian mathematical journal 2017-04, Vol.68 (11), p.1715-1726
Main Authors: Eslamian, M., Vahidi, J.
Format: Article
Language:English
Subjects:
Algebra
Algorithms
Analysis
Applications of Mathematics
Geometry
Hilbert space
Mathematics
Mathematics and Statistics
Operators
Statistics
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Description
Summary:We introduce a new general proximal-point algorithm for an infinite family of monotone operators in a real Hilbert space and establish strong convergence of the iterative process to a common null point of the infinite family of monotone operators. Our result generalizes and improves numerous results in the available literature.
ISSN:0041-5995
1573-9376
DOI:10.1007/s11253-017-1322-x