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Shi Sheng Zhang 《数学学报(英文版)》2010,26(2):337-344
The purpose of this paper is to study the weak convergence problems of the irnplicity iteration process for Lipschitzian pseudocontraction semigroups in general Banach spaces. The results presented in this paper extend and improve the corresponding results of Zhou [Nonlinear Anal., 68, 2977-2983 (2008)], Chen, et ah [J. Math. Anal. Appl., 314, 701 709 (2006)], Xu and Ori [Numer. Funct. Anal. Optim, 22, 767-773 (2001)] and Osilike [J. Math. Anal. Appl., 294, 73-81 (2004)]. Keywords 相似文献
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《Optimization》2012,61(11):2359-2375
We prove the solution existence and propose an iterative algorithm for solving equilibrium problems over the common solutions of a monotone equilibrium problem and the fixed points of a strictly pseudocontractive mapping in Hilbert spaces. The algorithm is a combination of the proximal point and Halpern methods. Strong convergence is established. 相似文献
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本文使用新的分析技巧研究了一致光滑Banach空间中一类增生映像的零点的迭代构造问题, 所得结果改进了Reich早期的一个著名定理.作为应用,导出了连续伪压缩映像的不动点的迭代算法的强收敛定理. 相似文献
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Hiroko Manaka Tamura 《Journal of Mathematical Analysis and Applications》2006,314(1):382-389
In the present paper, motivated by Stevi?'s iteration method, we show the stability result of the following unified iterative scheme
xn+1=tnTvn+(1−tn)xn+un 相似文献
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§1. IntroductionandPreliminariesLetXbearealBanachspacewithnormy·yanddualX.ThenormalizeddualitymappingfromXinto2XisdefinebyJ(x)={f∈X:〈x,f〉=yxy2=yfy2},where〈·,·〉denotesthegeneralizeddualitypairing.Itiswell-knownthatXisuniformlysmoothifandonlyifJissi… 相似文献
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The purpose of this paper is to study the convergence problems of the implicity iteration process for an asymptotically nonexpansive semigroups in general Banach spaces. The results presented in this paper extend and improve the corresponding results announced by many authors. 相似文献
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Approximation of fixed points of strongly pseudocontractive maps without Lipschitz assumption 总被引:4,自引:0,他引:4
In the present paper, the following result is shown: Let be a real Banach space with a uniformly convex dual , and let be a nonempty closed convex and bounded subset of . Assume that is a continuous strong pseudocontraction. Let and be two real sequences satisfying (i) for all ; (ii) ; and (iii) as Then the Ishikawa iterative sequence generated by
converges strongly to the unique fixed point of .
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