General iterative methods for generalized equilibrium problems and fixed point problems of k -strict pseudo-contractions

Dao-Jun Wen; Yi-An Chen

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General iterative methods for generalized equilibrium problems and fixed point problems of k -strict pseudo-contractions

机译：k严格拟收缩的广义平衡问题和不动点问题的通用迭代方法

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In this paper, we modify the general iterative method to approximate a common element of the set of solutions of generalized equilibrium problems and the set of common fixed points of a finite family of k-strictly pseudo-contractive nonself mappings. Strong convergence theorems are established under some suitable conditions in a real Hilbert space, which also solves some variation inequality problems. Results presented in this paper may be viewed as a refinement and important generalizations of the previously known results announced by many other authors. MSC:47H05, 47H09, 47H10.

机译：在本文中，我们修改了通用迭代方法，以逼近广义平衡问题解集和k个严格拟压缩非自映射的有限族的公共不动点集的一个公共元素。在真实的希尔伯特空间中的一些合适条件下建立了强收敛定理，这也解决了一些变分不等式问题。本文中提出的结果可以看作是许多其他作者宣布的先前已知结果的改进和重要概括。 MSC：47H05、47H09、47H10。

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《Fixexd point theory and applications》 |2012年第1期|共页
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Dao-Jun Wen; Yi-An Chen;
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中图分类数学;
关键词
generalized equilibrium problemk-strict pseudo-contractionsgeneral iterative method?±-inverse strongly monotonecommon fixed pointstrong convergence;

机译：广义平衡问题k-严格拟收缩一般迭代法？±反强单调公共不动点强收敛;

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专利

1. General iterative methods for generalized equilibrium problems and fixed point problems of k -strict pseudo-contractions [J] . Dao-Jun Wen, Yi-An Chen Fixexd point theory and applications . 2012,第1期

机译：k严格拟收缩的广义平衡问题和不动点问题的通用迭代方法
2. Strong convergence theorem by hybrid iterative scheme for generalized equilibrium problems and fixed point problems of strictly pseudo-contraction mappings [J] . I. Inchan, W. Sanhan International mathematical forum . 2010,第57a60期

机译：严格伪压缩映象的广义均衡问题和不动点问题的混合迭代方法的强收敛定理
3. Iterative Method for Common Fixed Points for Family of Generalized Asymptotically Quasi-Φ-strict Pseudo-contractions [J] . Bashir Ali, Godwin Chidi Ugwunnadi Communications on applied nonlinear analysis . 2013,第4期

机译：广义渐近拟Φ严格伪压缩族的公共不动点的迭代方法
4. Approximating Fixed Points of Asymptotically Strict Pseudo-contraction by IshikawaOs Iteration Algorithm For 2010 Intemational Conference on Computer and Computational Intelligence [C] . Yuanheng Wang, Weifeng Xuan ICCCI 2010;International conference on computer and computational intelligence . 2010

机译：用Ishikawa迭代算法逼近渐近严格伪压缩的不动点用于2010年国际计算机与计算智能会议
5. Generalized iterative and faster convergence method for nonlinear dynamic systems. [D] . Yang, Jie. 2005

机译：非线性动力学系统的广义迭代和更快收敛方法。
6. General iterative methods for systems of variational inequalities with the constraints of generalized mixed equilibria and fixed point problem of pseudocontractions [O] . Qian-Wen Wang, Jin-Lin Guan, Lu-Chuan Ceng, -1

机译：具有广义混合均衡和伪压缩不动点问题的变分不等式系统的通用迭代方法
7. General iterative methods for generalized equilibrium problems and fixed point problems of $k$-strict pseudo-contractions [O] . Dao-Jun Wen, Yi-An Chen 2012

机译：$ k $ -strict伪压缩的广义均衡问题和不动点问题的通用迭代方法

General iterative methods for generalized equilibrium problems and fixed point problems of k -strict pseudo-contractions

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