Stability and convergence trade-off of iterative optimization algorithms

Y Chen, C Jin, B Yu - arXiv preprint arXiv:1804.01619, 2018 - arxiv.org
… In this paper, we show that for any iterative algorithm at any iteration, the overall performance …
-off between convergence and stability of the algorithm – a faster converging algorithm has …

Strong convergence of a general iterative algorithm in Hilbert spaces

S Lv - Journal of Inequalities and Applications, 2013 - Springer
… a variational inequality involving an inverse-strongly monotone mapping and in the solution
… on a general iterative algorithm. Strong convergence of the iterative algorithm is obtained in …

Strong convergence of an iterative method for nonexpansive and accretive operators

HK Xu - Journal of Mathematical Analysis and Applications, 2006 - Elsevier
… method that generates the sequence {xn} by the algorithm xn+… Strong convergence of the
algorithm {xn} is proved assuming … Finally we prove that {xt} converges strongly to a fixed point …

Strong convergence of an explicit iterative algorithm for continuous pseudo-contractions in Banach spaces

H Zhou - Nonlinear Analysis: Theory, Methods & Applications, 2009 - Elsevier
… with errors usually can induce an explicit iterative algorithm. … a Halpern type explicit iterative
algorithm for continuous pseudo-contractions and prove strong convergence theorems in the …

[PDF][PDF] Strong convergence of an iterative method for hierarchical fixed-point problems

PE Maingé, A Moudafi - Pacific Journal of Optimization, 2007 - researchgate.net
… that, if (xn) converges weakly to x in D and (xn −Txn) strongly converges to 0, then x is a …
Senter and Dotson so as to obtain a strong convergence result for Mann iterates. Later Maiti and …

Strong convergence of iterative algorithms for the split equality problem

LY Shi, R Chen, Y Wu - Journal of Inequalities and Applications, 2014 - Springer
algorithm, … iterative algorithm which converges strongly to a solution of SEP (1.1) (see
Theorem 4.3). In Section 5, we introduce some other iterative algorithms which converge strongly

[PDF][PDF] Weak and strong convergence theorems for the Krasnoselskij iterative algorithm in the class of enriched strictly pseudocontractive operators

V Berinde - Annals of West University of Timisoara-Mathematics …, 2018 - sciendo.com
iteration, for which we have proven a strong convergence result (Theorem 2.1) as well as a
weak convergence the… a weak convergence theorem for a Krasnohselskij-Mann iteration (…

Strong convergence of an iterative algorithm involving nonlinear mappings of nonexpansive and accretive type

X Qin, SY Cho, L Wang - Optimization, 2018 - Taylor & Francis
… It is a viscosity approximation method which produces a strongly convergent sequence. …
In this paper, we propose a regularization viscosity algorithm with computational errors for …

Forcing strong convergence of proximal point iterations in a Hilbert space

MV Solodov, BF Svaiter - Mathematical Programming, 2000 - Springer
… a simple way, so that strong convergence is guaranteed. In this paper, we develop a
strongly convergent algorithm by combining proximal point iterations with certain (computationally …

Strong convergence of an iterative algorithm for pseudocontractive mapping in Banach spaces

Y Yao, YC Liou, R Chen - Nonlinear Analysis: Theory, Methods & …, 2007 - Elsevier
iterative algorithm (5): x 0 ∈ C , x n = α n u + β n x n − 1 + γ n T x n , n ≥ 1 , studied in this
paper also has strong convergence … At the same time the Mann type implicit iterative algorithm (…