Results 51 to 60 of about 6,093,519 (190)
Strong convergence of projected reflected gradient methods for variational inequalities
Fixed Point Theory, 2018 . The purpose of this work is to revisit the numerical approach to classical variational inequality problems, with monotone and Lipschitz continuous mapping, by means of a regularized dynamical method.
P. Maingé
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Strong convergence rates for explicit space-time discrete numerical approximations of stochastic Allen-Cahn equations [PDF]
Stochastics and Partial Differential Equations: Analysis and Computations, 2017 Strong convergence rates for fuly discrete numerical approximations of space-time white noise driven SPDEs with superlinearly growing nonlinearities, such as the stochastic Allen–Cahn equation with space-time white noise, are shown.
S. Becker +3 more
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Strong Convergence of Viscosity Iteration Methods for Nonexpansive Mappings
Abstract and Applied Analysis, 2009 We propose a new viscosity iterative scheme for finding fixed points of nonexpansive mappings in a reflexive Banach space having a uniformly Gâteaux differentiable norm and satisfying that every weakly compact convex subset of the space has the fixed ...
Jong Soo Jung
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An extrapolated fixed-point optimization method for strongly convex smooth optimizations
AIMS MathematicsIn this work, we focused on minimizing a strongly convex smooth function over the common fixed-point constraints. We proposed an extrapolated fixed-point optimization method, which is a modified version of the extrapolated sequential constraint method ...
Duangdaw Rakjarungkiat, Nimit Nimana
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Statistical convergence in probabilistic generalized metric spaces w.r.t. strong topology
Journal of Inequalities and Applications, 2021 In this paper, the concept of probabilistic g-metric space with degree l, which is a generalization of probabilistic G-metric space, is introduced. Then, by endowing strong topology, the definition of l-dimensional asymptotic density of a subset A of N l
Rasoul Abazari
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Annals of West University of Timisoara - Mathematics and Computer Science, 2018 In this paper, we introduce and study the class of enriched strictly pseudocontractive mappings in Hilbert spaces and extend some convergence theorems, i.e., Theorem 12 in [Brow-der, F. E., Petryshyn, W.
V. Berinde
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Strong Convergence of Generalized Projection Algorithms for Nonlinear Operators
Abstract and Applied Analysis, 2009 We establish strong convergence theorems for finding a common element of the zero point set of a maximal monotone operator and the fixed point set of two relatively nonexpansive mappings in a Banach space by using a new hybrid method.
Chakkrid Klin-eam +2 more
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Strong convergence theorem for strict pseudo-contractions in Hilbert spaces
Journal of Inequalities and Applications, 2016 In this paper, inspired by Hussain et al. (Fixed Point Theory Appl. 2015:17, 2015), we study a modified Mann method to approximate strongly fixed points of strict pseudo-contractive mappings. In (Hussain et al. in Fixed Point Theory Appl.
Giuseppe Marino +2 more
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Strong convergence theorems for strongly monotone mappings in Banach spaces
Boletim da Sociedade Paranaense de Matemática, 2020 Let $E$ be a uniformly smooth and uniformly convex real Banach space and $E^*$ be its dual space. Suppose $A : E\rightarrow E^*$ is bounded, strongly monotone and satisfies the range condition such that $A^{-1}(0)\neq \emptyset$.
Mathew O. Aibinu, Oluwatosin Mewomo
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Strong Convergence of an Iterative Algorithm for Hierarchical Problems
Abstract and Applied Analysis, 2014 We introduce the triple hierarchical problem over the solution set of the variational inequality problem and the fixed point set of a nonexpansive mapping. The strong convergence of the algorithm is proved under some mild conditions.
Poom Kumam, Thanyarat Jitpeera
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