Hilbert空间中广义平衡问题与k-严格伪压缩映象的强收敛定理

张石生; 饶若峰; 黄家琳

doi:10.3879/j.issn.1000-0887.2009.06.002

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Hilbert空间中广义平衡问题与k-严格伪压缩映象的强收敛定理

doi: 10.3879/j.issn.1000-0887.2009.06.002

宜宾学院数学系,四川宜宾 644007

基金项目: 四川省教委青年科学基金资助项目(08ZB002);四川省自然科学基金资助项目(2008ZC001)

详细信息

作者简介:
张石生(1934- ),男,云南曲靖人,教授(联系人.E-mail:changss@yahoo.cn).

中图分类号: O177.91
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- 文章访问数: 1610
- HTML全文浏览量: 103
- PDF下载量: 824
- 被引次数: 0
出版历程
- 收稿日期: 2008-12-06
- 修回日期: 2009-03-31
- 刊出日期: 2009-06-15

Strong Convergence Theorem for a Generalized Equilibrium Problem and k-Strict Pseudocontraction in Hilbert Spaces

Department of Mathematics, Yibin University, Yibin, Sichuan 644007, P. R. China

摘要

摘要: 在Hilbert空间中引进并研究了一种新的迭代算法,借以寻求广义平衡问题解集与k-严格伪压缩映象不动点集的一公共元．所得到的结果,推广并改进了最近一些人所发布的新结果．
- k-严格伪压缩映象 /
- 平衡问题 /
- α-逆强单调映象 /
- 变分不等式
Abstract: The main purpose is to introduce and study a new iterative algorithom for finding a common element of the set of solutions for a generalized equilibrium problem and the set of fixed points for a k-strict pseudocontractive mapping in Hilbert space.The results presented extend and improve the corresponding results announced by many others.
- k-strict pseudocontractive mapping /
- equilibrium problem /
- α-inverse-strongly monotone mapping /
- variational inequality

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参考文献(9)

[1]	Browder F E, Petryshyn W V. Construction of fixed points of nonlinear mappings in Hilbert spaces[J].J Math Anal Appl,1967,20（2）:197-228. doi: 10.1016/0022-247X(67)90085-6
[2]	Takahashi S, Takahashi W. Strong convergence theorem for a generalized equilibrium problem and a nonexpansive mapping in a Hilbert space[J].Nonlinear Analysis,2008,69（3）：1025-1033. doi: 10.1016/j.na.2008.02.042.
[3]	Tada A, Takahashi W. Strong convergence theorem for an equilibrium problem and a nonexpansive mapping[J].J Optim Theory Appl,2007,133:359-370. doi: 10.1007/s10957-007-9187-z
[4]	Takahashi S, Takahashi W. Viscosity approximation methods for equilibrium problem and fixed point problems in Hilbert spaces[J].J Math Anal Appl,2007,331(1):506-515. doi: 10.1016/j.jmaa.2006.08.036
[5]	Opial Z. Weak convergence of the sequence of successive approximations for nonexpansive mappings[J].Bull Amer Math Soc,1967,73(4):591-597. doi: 10.1090/S0002-9904-1967-11761-0
[6]	Suzuki T. Strong convergence of Krasnoselskii and Mann's type sequences for one-parameter nonexpansive semigroups without Bochner integrals[J].J Math Anal Appl,2005,305(1):227-239. doi: 10.1016/j.jmaa.2004.11.017
[7]	Blum E, Oettli W. From optimization and variational inequalities to equilibrium problems[J].Math Student,1994,63(1/4):123-145.
[8]	Combettes P L, Hirstoaga S A. Equilibrium problems in Hilbert space[J].J Nonlinear Convex Anal,2005,6:117-136.
[9]	Liu L S. Ishikawa and Mann iterative processes with errors for nonlinear strongly accretive mappings in Banach space[J].J Math Anal Appl,1995,194(1):114-125. doi: 10.1006/jmaa.1995.1289

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文章访问数: 1610
HTML全文浏览量: 103
PDF下载量: 824
被引次数: 0

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Hilbert空间中广义平衡问题与k-严格伪压缩映象的强收敛定理

doi: 10.3879/j.issn.1000-0887.2009.06.002

作者简介: 张石生(1934- ),男,云南曲靖人,教授(联系人.E-mail:changss@yahoo.cn).

计量

出版历程

Strong Convergence Theorem for a Generalized Equilibrium Problem and k-Strict Pseudocontraction in Hilbert Spaces

计量

出版历程

目录

作者简介:
张石生(1934- ),男,云南曲靖人,教授(联系人.E-mail:changss@yahoo.cn).