集值变分包含的投影算法

数学季刊 ›› 2010, Vol. 25 ›› Issue (4): 481-494.

集值变分包含的投影算法

1. Department of Mathematics and Computer, Hebei University2. Department of Mathematics, Jiaxing University

收稿日期:2006-06-06 出版日期:2010-12-30 发布日期:2023-05-17
作者简介: SU Ke(1978-), female, native of Handan, Hebei, a lecturer of Hebei University, Ph.D., engages in functional analysis and mathematical programming.
基金资助:
Supported by the National Natural Science Foundation of China(60974134)； Supported by the Natural Science Foundation of Hebei Province(A2010000191)；

The Projective Algorithms of Set-valued Variational Inclusions

1. Department of Mathematics and Computer, Hebei University2. Department of Mathematics, Jiaxing University

Received:2006-06-06 Online:2010-12-30 Published:2023-05-17
About author: SU Ke(1978-), female, native of Handan, Hebei, a lecturer of Hebei University, Ph.D., engages in functional analysis and mathematical programming.
Supported by:
Supported by the National Natural Science Foundation of China(60974134)； Supported by the Natural Science Foundation of Hebei Province(A2010000191)；

摘要/Abstract

摘要： A class of set-valued variational inclusions in Banach spaces and the convergence of the iterative algorithms are all studied in this paper. Moreover, the convergence and applications of projection algorithm to set-valued variational inclusions in Hilbert are also introduced. Many conclusions are generalized and improved.

关键词: set-valued variational inclusions, iterative, accretive, strongly accretive, maximal monotone

Abstract: A class of set-valued variational inclusions in Banach spaces and the convergence of the iterative algorithms are all studied in this paper. Moreover, the convergence and applications of projection algorithm to set-valued variational inclusions in Hilbert are also introduced. Many conclusions are generalized and improved.

Key words: set-valued variational inclusions, iterative, accretive, strongly accretive, maximal monotone

中图分类号:

O177.91

苏珂, 孔祥庆, 何震. 集值变分包含的投影算法[J]. 数学季刊, 2010, 25(4): 481-494.

SU Ke, KONG Xiang-qing, HE Zhen. The Projective Algorithms of Set-valued Variational Inclusions [J]. Chinese Quarterly Journal of Mathematics, 2010, 25(4): 481-494.

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