Characterization of H-monotone operators with applications to variational inclusions

Lu Chuan Zeng; Sy Ming Guu; Jen Chih Yao

doi:10.1016/j.camwa.2005.06.001

Characterization of H-monotone operators with applications to variational inclusions

Lu Chuan Zeng, Sy Ming Guu^*, Jen Chih Yao

^*Corresponding author for this work

Research output: Contribution to journal › Journal Article › peer-review

76 Scopus citations

Abstract

This paper establishes necessary and sufficient conditions for operators to be H-monotone. Based on these conditions, we introduce a new iterative algorithm for solving a class of variational inclusions. Strong convergence of this algorithm is established under appropriate assumptions on the parameters. Estimate of its convergence rate is also provided.

Original language	English
Pages (from-to)	329-337
Number of pages	9
Journal	Computers and Mathematics with Applications
Volume	50
Issue number	3-4
DOIs	https://doi.org/10.1016/j.camwa.2005.06.001
State	Published - 08 2005
Externally published	Yes

Keywords

H-monotone operator
Iterative algorithm
Resolvent operator technique
Variational inclusion

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10.1016/j.camwa.2005.06.001

Cite this

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title = "Characterization of H-monotone operators with applications to variational inclusions",

abstract = "This paper establishes necessary and sufficient conditions for operators to be H-monotone. Based on these conditions, we introduce a new iterative algorithm for solving a class of variational inclusions. Strong convergence of this algorithm is established under appropriate assumptions on the parameters. Estimate of its convergence rate is also provided.",

keywords = "H-monotone operator, Iterative algorithm, Resolvent operator technique, Variational inclusion",

author = "Zeng, {Lu Chuan} and Guu, {Sy Ming} and Yao, {Jen Chih}",

year = "2005",

month = aug,

doi = "10.1016/j.camwa.2005.06.001",

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T1 - Characterization of H-monotone operators with applications to variational inclusions

AU - Zeng, Lu Chuan

AU - Guu, Sy Ming

AU - Yao, Jen Chih

PY - 2005/8

Y1 - 2005/8

N2 - This paper establishes necessary and sufficient conditions for operators to be H-monotone. Based on these conditions, we introduce a new iterative algorithm for solving a class of variational inclusions. Strong convergence of this algorithm is established under appropriate assumptions on the parameters. Estimate of its convergence rate is also provided.

AB - This paper establishes necessary and sufficient conditions for operators to be H-monotone. Based on these conditions, we introduce a new iterative algorithm for solving a class of variational inclusions. Strong convergence of this algorithm is established under appropriate assumptions on the parameters. Estimate of its convergence rate is also provided.

KW - H-monotone operator

KW - Iterative algorithm

KW - Resolvent operator technique

KW - Variational inclusion

UR - http://www.scopus.com/inward/record.url?scp=27344459347&partnerID=8YFLogxK

U2 - 10.1016/j.camwa.2005.06.001

DO - 10.1016/j.camwa.2005.06.001

M3 - 文章

AN - SCOPUS:27344459347

SN - 0898-1221

VL - 50

SP - 329

EP - 337

JO - Computers and Mathematics with Applications

JF - Computers and Mathematics with Applications

IS - 3-4

ER -

Characterization of H-monotone operators with applications to variational inclusions

Abstract

Keywords

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