Strong convergence of gradient projection method for generalized equilibrium problem in a Banach space. [PDF]
Farid M, Irfan SS, Khan MF, Khan SA.
europepmc +1 more source
The viscosity iterative algorithms for the implicit midpoint rule of nonexpansive mappings in uniformly smooth Banach spaces. [PDF]
Luo P, Cai G, Shehu Y.
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A Krasnoselskii-Mann Algorithm With an Improved EM Preconditioner for PET Image Reconstruction. [PDF]
Lin Y, Schmidtlein CR, Li Q, Li S, Xu Y.
europepmc +1 more source
General iterative methods for systems of variational inequalities with the constraints of generalized mixed equilibria and fixed point problem of pseudocontractions. [PDF]
Wang QW, Guan JL, Ceng LC, Hu B.
europepmc +1 more source
Bayesian Inference Using the Proximal Mapping: Uncertainty Quantification Under Varying Dimensionality. [PDF]
Xu M, Zhou H, Hu Y, Duan LL.
europepmc +1 more source
A fast continuous time approach for non-smooth convex optimization using Tikhonov regularization technique. [PDF]
Karapetyants MA.
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Strong Convergence Theorems for Nonexpansive Mappings and Nonexpansive Semigroups
Let \(C\) be a nonempty closed convex subset of a real Hilbert space and \(T:C\to C\) be a nonexpansive mapping. In the present paper, the authors investigate the sequence \(\{x_n\}\) generated by: \[ \begin{cases} x_0=x\in C,\\ y_n=\alpha_nx_n+ (1-\alpha_n)Tx_n,\;\alpha_n \in [0,a),\;a\in[0,1),\\ C_n=\bigl\{z\in C:\| y_n-z\|\leq\| x_n-z \| \bigr ...
Wataru Takahashi
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Iterated Nonexpansive Mappings [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Enrique Llorens-Fuster +2 more
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Fixed points of nonexpansive and quasi-nonexpansive mappings
The Journal of Analysis, 2018As 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, 1988Let E and F be Banach spaces with \(X\subset E\) and \(Y\subset F\).
Kirk, W. A., Martinez Yanez, Carlos
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