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Iterative methods of strong convergence theorems for the split feasibility problem in Hilbert spaces. [PDF]

J Inequal Appl, 2016
Tang Y, Liu L.
europepmc   +1 more source

Multidirectional hybrid algorithm for the split common fixed point problem and application to the split common null point problem. [PDF]

Springerplus, 2016
Li X, Guo M, Su Y.
europepmc   +1 more source

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Asymptotically nonexpansive mappings

Nonlinear Analysis: Theory, Methods & Applications, 1998
This is a very interesting paper. The method used suggests an entirely new approach in the study of fixed points and related properties of asymptotically nonexpansive mappings. Let \(E\) be a Banach space and \(D\subseteq E\). We recall, if there exists a sequence of reals \(\{k_i\}\) with \(k_i\downarrow 1\) such that \(\|T^ix- T^iy\|\leq k_i\|x-y\|\)
Kirk, W. A., Yañez, Carlos Martinez, Shin, Sang Sik   +2 more
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A Remark on Nonexpansive Mappings

Canadian Mathematical Bulletin, 1981
Let X be a closed convex subset of a Banach space and let T: X → X be a nonexpansive mapping, i.e.
Goebel, Kazimierz, Koter, Malgorzata
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Fixed points of nonexpansive and quasi-nonexpansive mappings

The Journal of Analysis, 2018
As answers to open questions raised by \textit{V. Colao} and \textit{G. Marino} [Fixed Point Theory Appl. 2015, Paper No. 39, 7 p. (2015; Zbl 1307.47077)], the authors show strong and weak convergence of the iterated sequence by the Krasnoselskii-Mann algorithm for a countable family of (quasi-)nonexpansive non-self mappings satisfying a weakly inward ...
Narayanan, M. Sankara, Marudai, M.
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Nonexpansive and locally nonexpansive mappings in product spaces

Nonlinear Analysis: Theory, Methods & Applications, 1988
Let E and F be Banach spaces with \(X\subset E\) and \(Y\subset F\).
Kirk, W. A., Martinez Yanez, Carlos
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On L-$$\omega $$-Nonexpansive Maps

Results in Mathematics
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
C. S. Barroso, J. V. Bedoya, C. S. R. da Silva   +2 more
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On Asymptotically Nonexpansive Semigroups of Mappings

Canadian Mathematical Bulletin, 1970
A selfmapping f of a metric space (X, d) is nonexpansive (ε-nonexpansive) if d(f(x), f(y)) ≤ d(x, y) for all x, y ∊ X (respectively if d(x, y) < ε). In [1], M.
Holmes, R. D., Narayanaswami, P. P.
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Asymptotic Properties of Monotonic Nonexpansive Mappings

Discrete Event Dynamic Systems, 2004
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