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2008 NEW ACCURACY CRITERIA FOR MODIFIED APPROXIMATE PROXIMAL POINT ALGORITHMS IN HILBERT SPACES
Lu-Chuan Ceng, Soon-Yi Wu, Jen-Chih Yao
Taiwanese J. Math. 12(7): 1691-1705 (2008). DOI: 10.11650/twjm/1500405080

Abstract

This paper proposes a modified approximate proximal point algorithm to solve the problem of finding zeros of a maximal monotone operator in a Hilbert space. New accuracy criteria are imposed. Weak and strong convergence results are established.

Citation

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Lu-Chuan Ceng. Soon-Yi Wu. Jen-Chih Yao. "NEW ACCURACY CRITERIA FOR MODIFIED APPROXIMATE PROXIMAL POINT ALGORITHMS IN HILBERT SPACES." Taiwanese J. Math. 12 (7) 1691 - 1705, 2008. https://doi.org/10.11650/twjm/1500405080

Information

Published: 2008
First available in Project Euclid: 18 July 2017

zbMATH: 1215.47061
MathSciNet: MR2449657
Digital Object Identifier: 10.11650/twjm/1500405080

Subjects:
Primary: 47H05 , 47J25

Keywords: inexact methods , monotone operators , proximal point algorithms

Rights: Copyright © 2008 The Mathematical Society of the Republic of China

Vol.12 • No. 7 • 2008
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