A Hybrid Extragradient Method for Asymptotically Strict Pseudo-Contractions in the Intermediate Sense and Inverse-Strongly Monotone Mappings

机译：中间意义上的渐近严格伪压缩与逆强单调映射的混合超梯度方法

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摘要

This paper is devoted to investigating a new hybrid extragradient method for an asymptotically strict pseudo-contraction in the intermediate sense S and a monotone and Lipschitz continuous mapping A in a Hilbert space. The main purpose is to use this iterative method to generate a sequence for approximating a common element of the fixed point set of S and the solution set of the variational inequality problem for A. Weak convergence and strong convergence for the related sequences are established with respective iteration processes.

机译：本文致力于研究一种新的混合渐进方法，该方法用于在Hilbert空间中的中间意义S上渐近严格的伪压缩以及在Hilbert空间中的单调和Lipschitz连续映射A。主要目的是使用这种迭代方法来生成一个序列，以逼近S的不动点集的公共元素和A的变分不等式问题的解集。分别建立相关序列的弱收敛和强收敛迭代过程。

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来源
《The 8th international conference on optimization: Techniques and Applications》|2010年|57-58|共2页
会议地点 Shanghai(CN)
作者
Shuechin Huang;
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作者单位

Department of Applied Mathematics,National Dong Hwa University Hualien 97401, Taiwan;

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会议组织
原文格式 PDF
正文语种 eng
中图分类系统优化;
关键词
Mann iteration; Hybrid extragradient method; Variational inequality; Asymptotically strict pseudo-contraction in the intermediate sense; Monotone mapping; Inversestrongly monotone mapping; Demiclosedness principle;

机译：Mann迭代;混合指数法;变分不等式;中间意义上的渐近严格拟收缩;单调映射;逆强单调映射;半封闭原理;

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专利

1. Hybrid extragradient methods for asymptotically strict pseudo-contractions in the intermediate sense and variational inequality problems [J] . Shuechin Huang Optimization: A Journal of Mathematical Programming and Operations Research . 2011,第4a6期

机译：中间意义上渐近严格拟收缩的混合超梯度方法和变分不等式问题
2. Hybrid extragradient methods for asymptotically strict pseudo-contractions in the intermediate sense and variational inequality problems [J] . Shuechin Huang Optimization: A Journal of Mathematical Programming and Operations Research . 2011,第6期

机译：中间意义上的渐近严格拟收缩和变分不等式问题的混合超梯度方法
3. A Hybrid Extragradient Method for Asymptotically Strict Pseudo-Contractions in the Intermediate Sense [J] . LU-CHUAN CENG, SHUECHIN HUANG Fixed point theory: An international journal o fixed point theory computation and applications . 2010,第1期

机译：中间意义上渐近严格伪压缩的混合超梯度方法
4. A Hybrid Extragradient Method for Asymptotically Strict Pseudo-Contractions in the Intermediate Sense and Inverse-Strongly Monotone Mappings [C] . Shuechin Huang International conference on optimization: Techniques and Applications . 2010

机译：一种杂交谱不同方法，用于中等感觉和逆强单调映射中的渐近严格伪收缩
5. Projective Splitting Methods for Maximal Monotone Mappings in Hilbert Spaces [D] . Hazaimah, Oday. 2020

机译：Hilbert空间中最大单调映射的投影分裂方法
6. Viscosity-Projection Method for a Family of General Equilibrium Problems and Asymptotically Strict Pseudocontractions in the Intermediate Sense [O] . Dao-Jun Wen 2013

机译：中间意义上一类一般平衡问题和渐近严格伪压缩的粘滞投影方法
7. Hybrid Extragradient-Type Methods for Finding a Common Solution of an Equilibrium Problem and a Family of Strict Pseudo-Contraction Mappings [O] . Pham Ngoc Anh, Tran Dinh Quoc, Dang Xuan Son 2012

机译：寻找平衡问题和严格伪压缩映射族的公共解的混合超梯度类型方法

A Hybrid Extragradient Method for Asymptotically Strict Pseudo-Contractions in the Intermediate Sense and Inverse-Strongly Monotone Mappings

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