Results 31 to 40 of about 321 (86)
Variant extragradient-type method for monotone variational inequalities
, 2013 Korpelevich’s extragradient method has been studied and extended extensively due to its applicability to the whole class of monotone variational inequalities.
Yonghong Yao, M. Postolache, Y. Liou
semanticscholar +1 more source
Iterative Convergence with Banach Space Valued Functions in Abstract Fractional Calculus
Annals of the West University of Timisoara: Mathematics and Computer Science, 2017 The goal of this paper is to present a semi-local convergence analysis for some iterative methods under generalized conditions. The operator is only assumed to be continuous and its domain is open. Applications are suggested including Banach space valued
Anastassiou George A. +1 more
doaj +1 more source
, 2012 In this article, we introduce iterative methods (implicit and explicit) for finding a common fixed point set of a countable family of strict pseudo-contractions, which is a unique solution of some variational inequality.
P. Sunthrayuth, Poom Kumam
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Solving an abstract nonlinear eigenvalue problem by the inverse iteration method
, 2017 Let $\left( X,\left\Vert \cdot\right\Vert_{X}\right) $ and $\left( Y,\left\Vert \cdot\right\Vert_{Y}\right) $ be Banach spaces over $\mathbb{R},$ with $X$ uniformly convex and compactly embedded into $Y.$ The inverse iteration method is applied to solve ...
Ercole, Grey
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, 2013 The purpose of this paper is to study the existence theorems of fixed points, △-convergence and strong convergence theorems for total asymptotically nonexpansive nonself mappings in the framework of CAT(0) spaces.
Li Yang, Fuhai Zhao
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Strong convergence of a general iterative algorithm in Hilbert spaces
Journal of Inequalities and Applications, 2013 In this paper, the problem of approximating a common element in the common fixed point set of an infinite family of nonexpansive mappings, in the solution set of a variational inequality involving an inverse-strongly monotone mapping and in the solution ...
Songtao Lv
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On the proximal point algorithm and demimetric mappings in CAT(0) spaces
Demonstratio Mathematica, 2018 In this paper, we introduce and study the class of demimetric mappings in CAT(0) spaces.We then propose a modified proximal point algorithm for approximating a common solution of a finite family of minimization problems and fixed point problems in CAT(0)
Aremu Kazeem O. +3 more
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A general composite iterative method for strictly pseudocontractive mappings in Hilbert spaces
, 2014 In this paper, we introduce a new general composite iterative method for finding a fixed point of a strictly pseudocontractive mapping in Hilbert spaces.
J. Jung
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Two modified proximal point algorithms in geodesic spaces with curvature bounded above
, 2017 We obtain existence and convergence theorems on two variants of the proximal point algorithm for proper lower semicontinuous convex functions in complete geodesic spaces with curvature bounded above.Comment: 22 pages; some minor corrections were ...
Brown, André EX +11 more
core +3 more sources
, 2012 In this article, strong convergence of Krasnoselski-Mann iterative sequences and Halpern iterative sequences are investigated based on hybrid projection methods.
X. Qin, R. Agarwal, S. Cho, S. Kang
semanticscholar +1 more source