Results 1 to 10 of about 2,952 (132)
A New Iterative Scheme of Modified Mann Iteration in Banach Space [PDF]
Abstract and Applied Analysis, 2014 We introduce the modified iterations of Mann's type for nonexpansive mappings and asymptotically nonexpansive mappings to have the strong convergence in a uniformly convex Banach space.
Jinzuo Chen, Dingping Wu, Caifen Zhang
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On Modified Halpern and Tikhonov–Mann Iterations [PDF]
Journal of Optimization Theory and Applications, 2023 AbstractWe show that the asymptotic regularity and the strong convergence of the modified Halpern iteration due to T.-H. Kim and H.-K. Xu and studied further by A. Cuntavenapit and B. Panyanak and the Tikhonov–Mann iteration introduced by H. Cheval and L. Leuştean as a generalization of an iteration due to Y. Yao et al.
Ulrich Kohlenbach +2 more
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The equivalence between the T-stabilities of modified Mann-Ishikawa and Mann-Ishikawa iterations
Journal of Numerical Analysis and Approximation Theory, 2006 We show that all \(T\)-stabilities of Mann-Ishikawa iterations and modified Mann-Ishikawa iterations are equivalent.
Ştefan M. Şoltuz
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A Modified Mann Iteration by Boundary Point Method for Finding Minimum-Norm Fixed Point of Nonexpansive Mappings [PDF]
Abstract and Applied Analysis, 2013 Let H be a real Hilbert space and C⊂H a closed convex subset. Let T:C→C be a nonexpansive mapping with the nonempty set of fixed points Fix(T). Kim and Xu (2005) introduced a modified Mann iteration x0=x∈C, yn=αnxn+(1−αn)Txn, xn+1=βnu+(1−βn)yn, where u∈C
Songnian He, Wenlong Zhu
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Strong and Weak Convergence of Modified Mann Iteration for New Resolvents of Maximal Monotone Operators in Banach Spaces [PDF]
Abstract and Applied Analysis, 2009 We prove strong and weak convergence theorems for a new resolvent of maximal monotone operators in a Banach space and give an estimate of the convergence rate of the algorithm. Finally, we apply our convergence theorem to the convex minimization problem.
Somyot Plubtieng, Wanna Sriprad
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Mathematical and Computer Modelling, 2003 The authors consider equivalence between the convergence for the modified Picard iteration, the modified Mann iteration, and the modified Ishikawa iteration. All those modified iterations are for \(L\)-Lipschitz mappings, Banach contractive mappings, nonexpansive mappings, and asymptotically nonexpansive mappings in Banach spaces.
S S Chang, Y J Cho
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Convergence theorems of modified Mann iterations [PDF]
Fixed Point Theory and Applications, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, Jinzuo, Wu, Dingping
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Mathematics, 2022 In a real Hilbert space, let the CFPP, VIP, and HFPP denote the common fixed-point problem of countable nonexpansive operators and asymptotically nonexpansive operator, variational inequality problem, and hierarchical fixed point problem, respectively ...
Yun-Ling Cui +6 more
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The convergence of the modified Mann and Ishikawa iterations in Banach spaces [PDF]
Journal of Inequalities and Applications, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xue, Zhiqun, Lv, Guiwen
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Journal of Inequalities and Applications, 2023 In this paper, we propose new methods for finding a common solution to pseudomonotone and Lipschitz-type equilibrium problems, as well as a fixed-point problem for demicontractive mapping in real Hilbert spaces.
Bancha Panyanak +3 more
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