Splitting methods for a convex feasibility problem in Hilbert spaces
نویسندگان
چکیده
منابع مشابه
Iterative methods of strong convergence theorems for the split feasibility problem in Hilbert spaces
In this paper, we propose several new iterative algorithms to solve the split feasibility problem in the Hilbert spaces. By virtue of new analytical techniques, we prove that the iterative sequence generated by these iterative procedures converges to the solution of the split feasibility problem which is the best close to a given point. In particular, the minimum-norm solution can be found via ...
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Manuscript received January 01, 2014; revised March 28, 2014. This work was supported in part by King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia. Cyril Dennis Enyi is with King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia. (corresponding author: +966550782390; e-mail: cenyi@ kfupm.edu.sa). Mukiawa Edwin Soh is with King Fahd University of Petroleum and ...
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and Applied Analysis 3 Proof. First, we show that {x n } is bounded. In fact, let z ∈ Ω. Since {λ n,i } ⊂ (0, 2/‖A‖ 2 ), the operators P Ci (I − λ n,i A ∗ (I − P Qi )A) are nonexpansive, and hence we have xn+1 − z = α n x n + β n f (x n )
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ژورنال
عنوان ژورنال: Journal of Nonlinear Sciences and Applications
سال: 2016
ISSN: 2008-1901
DOI: 10.22436/jnsa.009.05.60