Strong and weak convergence theorems for general mixed equilibrium problems and variational inequality problems and fixed point problems in Hilbert spaces

Cai G.; Bu S.

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Strong and weak convergence theorems for general mixed equilibrium problems and variational inequality problems and fixed point problems in Hilbert spaces

机译：Hilbert空间中一般混合平衡问题与变分不等式问题和不动点问题的强弱收敛定理

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In this paper, we introduce two iterative algorithms for finding a common element of the set of solutions of finite general mixed equilibrium problems and the set of solutions of finite variational inequalities for inverse strongly monotone mappings and the set of common fixed points of an asymptotically k-strictly pseudocontractive mapping in the intermediate sense in a real Hilbert space. We prove some strong and weak convergence theorems by using the proposed algorithms under some suitable conditions. Our results improve and extend the corresponding results announced by many others.

机译：在本文中，我们介绍了两种迭代算法，用于找到有限一般混合均衡问题的解集和逆强单调映射的有限变分不等式解集以及渐近k的公共不动点集的一个公共元素。实希尔伯特空间中的中间意义上的严格伪压缩映射。通过在适当的条件下使用提出的算法，我们证明了一些强弱收敛定理。我们的结果改进并扩展了许多其他公司宣布的相应结果。

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《Journal of Computational and Applied Mathematics》 |2013年第null期|共19页
作者
Cai G.; Bu S.;
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正文语种 eng
中图分类计算数学;
关键词
Fixed point; General mixed equilibrium problem; Hilbert space; Variational inequality;

机译：不动点;一般混合均衡问题;希尔伯特空间;变分不等式;

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专利

1. Strong and weak convergence theorems for general mixed equilibrium problems and variational inequality problems and fixed point problems in Hilbert spaces [J] . Cai G., Bu S. Journal of Computational and Applied Mathematics . 2013,第Null期

机译：Hilbert空间中一般混合平衡问题与变分不等式问题和不动点问题的强弱收敛定理
2. WEAK CONVERGENCE THEOREMS FOR GENERAL EQUILIBRIUM PROBLEMS AND VARIATIONAL INEQUALITY PROBLEMS AND FIXED POINT PROBLEMS IN BANACH SPACES [J] . Gang CAI, Shangquan BU 数学物理学报（英文版） . 2013,第001期

机译：Banach空间中一般均衡问题，变分不等式问题和不动点问题的弱收敛定理。
3. Convergence theorems of common elements for mixed equilibrium problems, variational inequality problems and fixed point problems in Banach spaces [J] . Kriengsak Wattanawitoon, Poom Kumam, Usa Hamphries International Journal of Applied Mathematics and Computation . 2010,第2期

机译：Banach空间中混合平衡问题，变分不等式问题和不动点问题的公共元素的收敛定理
4. Mixed iterative scheme for equilibrium problems, variational inequalities, zero point problems and fixed point problems in 2-uniformly convex Banach spaces [C] . Duan Li-Ling, Fan Shu-Xin, Li Wei Proceedings of 2011 International Conference on Wavelet Analysis and Pattern Recognition . 2011

机译：2一致凸Banach空间中平衡问题，变分不等式，零点问题和不动点问题的混合迭代方案
5. STRONG CONVERGENCE THEOREMS FOR EXCHANGEABLE ARRAYS OF RANDOM VARIABLES AND RANDOM ELEMENTS IN BANACH SPACES. [D] . PATTERSON, RONALD FRANK. 1984

机译：Banach空间中随机变量和随机元素的可交换阵列的强收敛定理。
6. Weak convergence theorem for a class of split variational inequality problems and applications in a Hilbert space [O] . Ming Tian, Bing-Nan Jiang -1

机译：Hilbert空间中一类分裂变分不等式问题的弱收敛定理和应用
7. Strong Convergence Theorems for Equilibrium Problems and Fixed Point Problems in Hilbert Spaces [O] . Jian-Wen Peng, Yan Wang 2010

机译：Hilbert空间均衡问题的强大收敛定理及其定点问题

Strong and weak convergence theorems for general mixed equilibrium problems and variational inequality problems and fixed point problems in Hilbert spaces

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