Hybrid Algorithms for Minimization Problems over the Solutions of Generalized Mixed Equilibrium and Variational Inclusion Problems

Thanyarat Jitpeera; Poom Kumam

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Hybrid Algorithms for Minimization Problems over the Solutions of Generalized Mixed Equilibrium and Variational Inclusion Problems

机译：广义混合均衡和变分包含问题解最小化问题的混合算法

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We introduce a new general hybrid iterative algorithm for finding a common element of the set of solution of fixed point for a nonexpansive mapping, the set of solution of generalized mixed equilibrium problem, and the set of solution of the variational inclusion for a β-inverse-strongly monotone mapping in a real Hilbert space. We prove that the sequence converges strongly to a common element of the above three sets under some mild conditions. Our results improve and extend the corresponding results of Marino and Xu (2006), Yao and Liou (2010), Tan and Chang (2011), and other authors.

机译：我们引入了一种新的通用混合迭代算法，该算法可找到非膨胀映射的不动点解集，广义混合平衡问题的解集和β逆的变分包含解的集的公共元素-在真实希尔伯特空间中的强烈单调映射。我们证明该序列在某些温和条件下强烈收敛于上述三个集合的共同元素。我们的结果改进并扩展了Marino和Xu（2006），Yao和Liou（2010），Tan和Chang（2011）等作者的相应结果。

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《Mathematical Problems in Engineering》 |2011年第3期|p.1-25|共25页
作者
Thanyarat Jitpeera; Poom Kumam;
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Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), Bangmod, Thrungkru, Bangkok 10140, Thailand;

Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), Bangmod, Thrungkru, Bangkok 10140, Thailand;

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专利

1. Hybrid Algorithms for Minimization Problems over the Solutions of Generalized Mixed Equilibrium and Variational Inclusion Problems [J] . ThanyaratJitpeera, PoomKumam Mathematical Problems in Engineering: Theory, Methods and Applications . 2011,第2期

机译：广义混合均衡和变分包含问题解最小化问题的混合算法
2. A new iterative algorithm for solving common solutions of generalized mixed equilibrium problems, fixed point problems and variational inclusion problems with minimization problems [J] . Thanyarat Jitpeera, Poom Kumam Fixexd point theory and applications . 2012,第1期

机译：一种新的迭代算法，用于求解广义混合均衡问题，不动点问题和带有最小化问题的变分包含问题的通用解
3. A new hybrid general iterative algorithm for common solutions of generalized mixed equilibrium problems and variational inclusions [J] . Kriengsak Wattanawitoon, Thanyarat Jitpeera, Poom Kumam Journal of inequalities and applications . 2012,第1期

机译：求解广义混合平衡问题和变分包含问题的通用解的一种新的混合广义迭代算法
4. A regularization algorithm for a common solution of generalized equilibrium problem, variational inclusion and fixed point problems in Banach spaces [C] . Khanitttha Promluang, Poom Kumam International Conference on Science and Technology . 2015

机译：Banach空间中的广义均衡问题的共同解决方案的正则化算法，Banach空间中的变分夹杂物和定点问题
5. Hybrid solution of stochastic optimal control problems using Gauss pseudospectral method and generalized polynomial chaos algorithms. [D] . Cottrill, Gerald C. 2012

机译：使用高斯伪谱方法和广义多项式混沌算法的混合随机最优控制问题求解。
6. Hybrid algorithm for common solution of monotone inclusion problem and fixed point problem and applications to variational inequalities [O] . Jingling Zhang, Nan Jiang -1

机译：单调包含问题和不动点问题的通用解的混合算法及其在变分不等式中的应用
7. Hybrid Algorithms for Minimization Problems over the Solutions of Generalized Mixed Equilibrium and Variational Inclusion Problems [O] . Thanyarat Jitpeera, Poom Kumam 2011

机译：混合算法，用于最小化通用混合平衡和变分夹杂项问题的解决方案

Hybrid Algorithms for Minimization Problems over the Solutions of Generalized Mixed Equilibrium and Variational Inclusion Problems

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