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Convergence of Hybrid Steepest-Descent Methods for Variational Inequalities
AbstractAssume that F is a nonlinear operator on a real Hilbert space H which is η-strongly monotone and κ-Lipschitzian on a nonempty closed convex subset C of H. Assume also that C is theExpand
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Strong convergence of modified Mann iterations
Abstract The Mann iterations for nonexpansive mappings have only weak convergence even in a Hilbert space. We propose two modifications of the Mann iterations in a uniformly smooth Banach space, oneExpand
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Strong convergence of modified Mann iterations for asymptotically nonexpansive mappings and semigroups
Abstract The Mann iterations for nonexpansive mappings have in general only weak convergence in a Hilbert space. We modify an iterative method of Mann's type introduced by Nakajo and TakahashiExpand
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Convergence of the modified Mann’s iteration method for asymptotically strict pseudo-contractions
Abstract Let C be a closed convex subset of a real Hilbert space H and assume that T is an asymptotically κ -strict pseudo-contraction on C with a fixed point, for some 0 ≤ κ 1 . Given an initialExpand
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Remarks on asymptotically nonexpansive mappings
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Isolation of endosulfan degrading bacteria and their degradation characteristics
A bacterium, which was named to be Bacillus sp. E64-2, capable of degrading endosulfan was isolated from the environmental sample using enrichment culture technique. The Bacillus sp. E64-2 was ableExpand
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The split common fixed-point problem for demicontractive mappings and quasi-nonexpansive mappings
In this paper, we study a split common fixed-point problem for demicontractive mappings and quasi-nonexpansive mappings, and propose some cyclic iterative schemes. Moreover we prove some strongExpand
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Robustness of Mann's algorithm for nonexpansive mappings
Abstract Mann's algorithm is proved robust in the sense that appropriately small perturbations do not alter the convergence of the algorithm. We prove this for nonexpansive mappings in a Banach spaceExpand
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A Novel Protection Architecture for WDM-PON
We first introduce a novel designing methods to protect WDM-PON. With these designing methods, we propose reliable and cost effective protection architectures. We also study the performance of ourExpand
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