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New inertial factors of the Krasnosel’skiı̆-Mann iteration
Set-Valued and Variational Analysis, 2020The author considers inertial Krasnosel'skiǐ-Mann fixed point iterative schemes for nonexpansive operators in real Hilbert spaces. For these algorithms, he provides some new conditions on the inertial factors that ensure weak convergence and depend only on the iteration coefficients.
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Mann iterative process for pseudocontractive mappings
Rendiconti del Circolo Matematico di Palermo, 2011The author proves that, if a strictly pseudocontractive map \(T:K\rightarrow{K}\) in the sense of \textit{F. E. Browder} and \textit{W. V. Petryshyn} [J. Math. Anal. Appl. 20, 197--228 (1967; Zbl 0153.45701)] with \(\{x\in{K}: Tx=x\}\neq{\emptyset}\) is demicompact, then the sequence \((x_{n})\) defined by \[ x_{n+1}=(1-\alpha_{n})x_{n}+\alpha_{n}Tx_{n}
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A modified successive projection method for Mann’s iteration process
Journal of Fixed Point Theory and Applications, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
He, Songnian, Yang, Zhuo
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Krasnoselski–Mann iteration for hierarchical fixed-point problems
Inverse Problems, 2007This paper deals with a method for approximating a solution of the following fixed-point problem: find , where is a Hilbert space, P and T are two nonexpansive mappings on a closed convex subset D and projFix(T) denotes the metric projection on the set of fixed points of T.
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Improved visualization for trend analysis by comparing with classical Mann-Kendall test and ITA
Journal of Hydrology, 2020Yavuz Selim Güçlü
exaly