Gradient projection method with a new step size for the split feasibility problem. [PDF]
Tianchai P.
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An algorithm for the split-feasibility problems with application to the split-equality problem. [PDF]
Chuang CS, Chen CM.
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Weak convergence theorem for a class of split variational inequality problems and applications in a Hilbert space. [PDF]
Tian M, Jiang BN.
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A fast continuous time approach for non-smooth convex optimization using Tikhonov regularization technique. [PDF]
Karapetyants MA.
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Convergence theorem for I-asymptotically quasi-nonexpansive mapping in Hilbert space [PDF]
Let H be a Hilbert space with inner product (⋅,⋅) and ‖⋅‖ norm, and let K be weakly compact a subset of H. Let T:K→K be nonlinear mapping and I:K→K be a nonlinear bounded mapping.
Seyit Temir
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Strong convergence of an explicit iteration process for a totally asymptotically I-nonexpansive mapping in Banach spaces [PDF]
In this work we prove the strong convergence of an explicit iterative process to a common fixed point of a totally asymptotically I-nonexpansive mapping T and a totally asymptotically nonexpansive mapping I, defined on a nonempty closed convex subset of ...
Farrukh Mukhamedov, Mansoor Saburov
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On Asymptotically Nonexpansive Semigroups of Mappings
Canadian Mathematical Bulletin, 1970A 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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Convergence Theorems of Variational Inequality for Asymptotically Nonexpansive Nonself Mapping in CAT(0) Spaces [PDF]
The aim of this manuscript is to get the strong convergence theorems of the Moudafi’s viscosity approximation methods for an asymptotically nonexpansive nonself mapping in C A T ( 0 ...
Kyung Soo Kim
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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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