A New Hybrid Algorithm for Solving a System of Generalized Mixed Equilibrium Problems, Solving a Family of Quasi-ϕ-Asymptotically Nonexpansive Mappings, and Obtaining Common Fixed Points in Banach Space

J. F.Tan; S. S.Chang

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A New Hybrid Algorithm for Solving a System of Generalized Mixed Equilibrium Problems, Solving a Family of Quasi-ϕ-Asymptotically Nonexpansive Mappings, and Obtaining Common Fixed Points in Banach Space

机译：一种新的混合算法，用于求解广义混合平衡问题系统，求解一类拟ϕ-渐近非扩张映射，并获得Banach空间中的公共不动点

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The main purpose of this paper is to introduce a new hybrid iterative scheme for finding a common element of set of solutions for a system of generalized mixed equilibrium problems, set of common fixed points of a family of quasi-ϕ-asymptotically nonexpansive mappings, and null spaces of finite family ofγ-inverse strongly monotone mappings in a2-uniformly convex and uniformly smooth real Banach space. The results presented in the paper improve and extend the corresponding results announced by some authors.

机译：本文的主要目的是介绍一种新的混合迭代方案，用于寻找广义混合均衡问题系统解集的公共元素，拟ϕ渐近非扩张映射族的公共不动点集，以及在a2一致凸且一致光滑的实Banach空间中有限的γ逆强单调映象族的零空间。本文提出的结果改进和扩展了一些作者宣布的相应结果。

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《International journal of mathematics and mathematical sciences》 |2011年第4期|共16页
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J. F.Tan; S. S.Chang;
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1. A New Hybrid Algorithm for Solving a System of Generalized Mixed Equilibrium Problems, Solving a Family of Quasi-φ-Asymptotically Nonexpansive Mappings, and Obtaining Common Fixed Points in Banach Space [J] . J. F. Tan, S. S. Chang International journal of mathematics and mathematical sciences . 2011,第14期

机译：一种新的混合算法，用于解决广义混合平衡问题系统，求解一类拟φ-渐近非扩张映射并获得Banach空间中的公共不动点
2. Strong Convergence Theorem for Solving Generalized Mixed Equilibrium Problems and Fixed Point Problems for Total Quasi-ϕ-Asymptotically Nonexpansive Mappings in Banach Spaces [J] . ZhaoliMa, LinWang, YunheZhao Journal of applied mathematics . 2012,第2期

机译：Banach空间中总拟ϕ-渐近非扩张映象的广义混合均衡问题和不动点问题的强收敛定理
3. A new algorithm for solving a system of generalized mixed equilibrium problems and finding common fixed points of a finite family of Bregman nonexpansive mappings in Banach spaces [J] . Vahid Darvish, Truong Minh Tuyen Fixed point theory: An international journal o fixed point theory computation and applications . 2021,第1期

机译：一种求解广义混合均衡问题系统的新算法，并在Banach空间中找到有限家族的共同固定点。
4. ITERATIVE ALGORITHM TO COMMON FIXED POINTS OF INFINITE NONEXPANSIVE MAPPINGS IN BANACH SPACES [C] . WEI LI, LI-LING DUAN 2008 International Conference on Machine Learning and Cybernetics（2008机器学习与控制论国际会议）论文集 . 2008

机译：Banach空间中无限非扩张映射的公共不动点的迭代算法
5. Fixed point and ergodic theorems for nonexpansive mappings on ultrametric Banach spaces. [D] . Farrier, Sandra N. 2005

机译：超度量Banach空间上非膨胀映射的不动点定理和遍历定理。
6. Multivariate systems of nonexpansive operator equations and iterative algorithms for solving them in uniformly convex and uniformly smooth Banach spaces with applications [O] . Yongchun Xu, Jinyu Guan, Yanxia Tang, -1

机译：非膨胀算子方程的多元系统及其在一致凸和一致光滑Banach空间中求解它们的迭代算法及其应用
7. A New Hybrid Algorithm for Solving a System of Generalized Mixed Equilibrium Problems, Solving a Family of Quasi--Asymptotically Nonexpansive Mappings, and Obtaining Common Fixed Points in Banach Space [O] . J. F. Tan, S. S. Chang 2011

机译：一种新的混合算法，用于解决广义混合均衡问题的系统，解决准渐近非派对映射的家族，并在Banach空间中获得共同的固定点

A New Hybrid Algorithm for Solving a System of Generalized Mixed Equilibrium Problems, Solving a Family of Quasi-ϕ-Asymptotically Nonexpansive Mappings, and Obtaining Common Fixed Points in Banach Space

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