A new accuracy criterion for approximate proximal point algorithms

Deren Han; Bingsheng He

doi:10.1006/jmaa.2001.7535

A new accuracy criterion for approximate proximal point algorithms

Deren Han^*
, Bingsheng He

^*Corresponding author for this work

Nanjing University

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

61 Scopus citations

Abstract

In this paper, we give a new accuracy criterion for approximate proximal point algorithms. The criterion depends on the current iterate and is easy to verify. Under the suggested enforceable accuracy restriction, the convergence analysis is quite easy to follow.

Original language	English
Pages (from-to)	343-354
Number of pages	12
Journal	Journal of Mathematical Analysis and Applications
Volume	263
Issue number	2
DOIs	https://doi.org/10.1006/jmaa.2001.7535
State	Published - 15 Nov 2001
Externally published	Yes

Keywords

Inexact methods
Monotone operators
Proximal point algorithms

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10.1006/jmaa.2001.7535

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title = "A new accuracy criterion for approximate proximal point algorithms",

abstract = "In this paper, we give a new accuracy criterion for approximate proximal point algorithms. The criterion depends on the current iterate and is easy to verify. Under the suggested enforceable accuracy restriction, the convergence analysis is quite easy to follow.",

keywords = "Inexact methods, Monotone operators, Proximal point algorithms",

author = "Deren Han and Bingsheng He",

year = "2001",

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AU - Han, Deren

AU - He, Bingsheng

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AB - In this paper, we give a new accuracy criterion for approximate proximal point algorithms. The criterion depends on the current iterate and is easy to verify. Under the suggested enforceable accuracy restriction, the convergence analysis is quite easy to follow.

KW - Inexact methods

KW - Monotone operators

KW - Proximal point algorithms

UR - https://www.scopus.com/pages/publications/0035891519

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DO - 10.1006/jmaa.2001.7535

M3 - 文章

AN - SCOPUS:0035891519

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SP - 343

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JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

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A new accuracy criterion for approximate proximal point algorithms

Abstract

Keywords

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