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Banach空间弱伪压缩半群公共不动点的收敛性

, PP. 214-218

Keywords: Lipschitz弱伪压缩半群,强伪压缩映象,隐迭代序列

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Abstract:

在Banach空间中,给出了弱伪压缩半群定义,讨论了它的某类隐迭代序列的收敛性,改进和推广了现有文献的一些相应结果.

References

[1]  Osilike M O. Implicit iteration process for common fixed points of a finite family of strictly pseudocontractive maps[J]. J Math Anal Appl,2004,294(1):73-81.
[2]  Chen R D, Song Y S, Zhai H Y. Convergence theorems for implicit iteration press for a finite family of continuous pseudocontractive mappings[J]. J Math Anal Appl,2006,314(2):701-709.
[3]  Zhou H Y. Convergence theorems of common fixed points for a finite family of Lipschitzian pseudo-contractions in Banach spaces[J]. Nonlinear Anal,2008,68(10):2977-2983.
[4]  Chang S S. Convergence theorem of common fixed points for Lipschitzian pseudocontraction semigroups in Banach spaces[J]. Appl Math Mech,2009,30(2):142-148.
[5]  Deimling K. Zeros of accretive operator[J]. Manuscript Math,1974,13(4):365-374.
[6]  Chang S S, Cho Y J, Zhou H Y. Iterutive methods for nonlinear operator equations in Banach spaces[M]. New York: Nova Science Publishers,2002.
[7]  Osilike M O, Igbokwe D I. Weak and strong convergence theorems for fixed points of pseudocontractions and solutions of manotone type operator equations[J]. Comput Math Appl,2002,40(2):559-567.
[8]  Chang S S. Some problems and results in the study of nonlinear analysis[J]. Nonlinear Anal:TMA,1997,30(7):4197-4208.
[9]  Xu H K. Inequalities in Banach space with applications[J]. Nonlinear Anal:TMA,1991,16(12):1127-1138.
[10]  张石生,杨莉,李向荣,等. Hilbert空间中非扩张半群的强收敛定理[J]. 数学学报,2009,52(2):338-342.
[11]  Zhang S S, Yang L, Liu J A. Strong convergence theorems for nonexpansive semi-groups in Banach spaces[J]. Appl Math Mech,2007,28(10):1287-1297.
[12]  王丽萍,肖卓峰. 有限个渐近伪压缩映射近迫点序列的收敛性[J]. 数学的实践与认识,2010,40(3):146-150.
[13]  Kim T H, Xu H K. Strong convergence of modified mann iterations for asymptotically nonexpansive mappings and semigroups[J]. Nonlinear Anal,2006,64(5):1140-1152.
[14]  陈汝栋,宋义生,周海云. 连续伪压缩映射的黏滞迭代逼近方法[J]. 数学学报,2006,49(6):1275-1278.
[15]  宋义生. 广义Lipschitz伪压缩映射黏滞迭代逼近方法的强收敛[J]. 数学学报,2008,51(3):501-508.
[16]  赵良才. 有限簇非扩张非自映象的黏性逼近[J]. 四川师范大学学报:自然科学版,2009,32(3):281-286.
[17]  曾六川. 关于非Lipschitz的渐近伪压缩映象的迭代法的强收敛性[J]. 应用数学学报,2004,27(3):230-239.
[18]  王绍荣. Banach空间中非Lipschitz的渐近伪压缩映象不动点的迭代逼近问题[J]. 应用数学学报,2007,30(1):69-75.
[19]  唐玉超,刘理蔚. 赋范线性空间中渐近伪压缩映象的不动点迭代逼近[J]. 应用数学学报,2007,30(5):810-815.
[20]  陈汝栋,宋义生,周海云. 连续伪压缩映射的黏滞迭代逼近方法[J]. 数学学报,2006,49(6):1275-1278.
[21]  姚永红,陈汝栋. 渐近缩映象不动点的迭代逼近[J]. 工程数学学报,2008,23(4):745-748.

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