A general framework for the over-relaxed A-proximal point algorithm and applications to inclusion problems

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A general framework for the over-relaxed A-proximal point algorithm and applications to inclusion problems

机译：过度松弛的A近点算法的通用框架及其对包含问题的应用

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First, a general framework for the over-relaxed A-proximal point algorithm based on the A-maximal monotonicity is introduced, and second it is applied to the approximation solvability of a general class of nonlinear inclusion problems using the generalized resolvent operator technique. The over-relaxed A-proximal point algorithm is of interest in the sense that it is quite application-oriented, but nontrivial in nature. The results obtained are general in nature.

机译：首先，介绍了基于A-极大单调性的过松弛A-近点算法的一般框架，其次，它使用广义分辨算子技术将其应用于一般一类非线性包含问题的近似可解性。从某种意义上说，过度松弛的A近点算法是非常面向应用的，但本质上却是不平凡的。获得的结果本质上是一般的。

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《Applied mathematics letters》 |2009年第5期|共6页
作者
Verma RU;
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正文语种 eng
中图分类应用数学;
关键词
Variational inclusions; Maximal monotone mapping; A-maximal monotone mapping; Generalized resolvent operator; Over-relaxed A-proximal point algorithm;

机译：变分包含;最大单调映射;A-最大单调映射;广义分解算子;过度松弛的A-近点算法;

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1. A general framework for the over-relaxed A-proximal point algorithm and applications to inclusion problems [J] . Verma RU Applied mathematics letters . 2009,第5期

机译：过度松弛的A近点算法的通用框架及其对包含问题的应用
2. The Over-Relaxed A-Proximal Point Algorithm for General Nonlinear Mixed Set-Valued Inclusion Framework [J] . Honggang Li, Zhengqi Liao, Lipei Li Advances in nonlinear variational inequalities . 2012,第1期

机译：通用非线性混合集值包含框架的过松弛A近点算法
3. Generalized over-relaxed a-proximal point algorithms for variational inclusions [J] . Verma R.U. Advances in nonlinear variational inequalities . 2010,第2期

机译：变分包含的广义超松弛a-近点算法
4. An Over-Relaxed (A, η, m)-Proximal Point Algorithm for System of Nonlinear Fuzzy-Set Valued Operator Equation Frameworks and Fixed Point Problems [C] . Heng-you Lan, Xiao Wang, Tingjian Xiong, Integrated uncertainty in knowledge modelling and decision making . 2011

机译：非线性模糊集值算子方程框架和不动点问题的系统的过度松弛（A，η，m）-近点算法
5. Data-Driven Optimization under Uncertainty in the Era of Big Data and Deep Learning: General Frameworks, Algorithms, and Applications [D] . Ning, Chao. 2020

机译：数据驱动优化在大数据和深度学习时代的不确定性下：一般框架，算法和应用程序
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. A general framework for the over-relaxed A-proximal point algorithm and applications to inclusion problems [O] . Verma Ram U. 2009

机译：过度松弛的A近点算法的一般框架及其对包含问题的应用

A general framework for the over-relaxed A-proximal point algorithm and applications to inclusion problems

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