A strong convergence result involving an inertial forward–backward algorithm for monotone inclusions

Our interest in this paper is to prove a strong convergence result for finding a zero of the sum of two monotone operators, with one of the two operators being co-coercive using an iterative method which is a combination of Nesterov’s acceleration scheme and Haugazeau’s algorithm in real Hilbert spa...

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Bibliographic Details
Published in:Fixed point theory and algorithms for sciences and engineering Vol. 19; no. 4; pp. 3097 - 3118
Main Authors: Dong, Qiaoli, Jiang, Dan, Cholamjiak, Prasit, Shehu, Yekini
Format: Journal Article
Language:English
Published: Cham Springer International Publishing 01.12.2017
Springer Nature B.V
Subjects:
Algorithms
Analysis
Approximation
Codes
Convergence
Hilbert space
Inclusions
Iterative methods
Mathematical Methods in Physics
Mathematics
Mathematics and Statistics
Operators
Haugazeau algorithm
Splitting algorithm
47H09
Projection
47J05
Strong Convergence
47J25
Nesterov method
47H06
ISSN:1661-7738, 1661-7746, 2730-5422
Online Access:Get full text
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Summary:Our interest in this paper is to prove a strong convergence result for finding a zero of the sum of two monotone operators, with one of the two operators being co-coercive using an iterative method which is a combination of Nesterov’s acceleration scheme and Haugazeau’s algorithm in real Hilbert spaces. Our numerical results show that the proposed algorithm converges faster than the un-accelerated Haugazeau’s algorithm.
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content type line 14
ISSN:1661-7738
1661-7746
2730-5422
DOI:10.1007/s11784-017-0472-7