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JOTA
2016

A Variant of the Hybrid Proximal Extragradient Method for Solving Strongly Monotone Inclusions and its Complexity Analysis

3 years 8 months ago
A Variant of the Hybrid Proximal Extragradient Method for Solving Strongly Monotone Inclusions and its Complexity Analysis
This paper presents and studies the iteration-complexity of a variant of the hybrid proximal extragradient method for solving inclusion problems with strongly (maximal) monotone operators. As applications, we propose and analyze two special cases: variants of the Tseng’s forward-backward method for solving monotone inclusions with strongly monotone and Lipschitz continuous operators and of the Korpelevich extragradient method for solving (strongly monotone) variational inequalities. Keywords Hybrid proximal extragradient method · Strongly monotone operators · Variational inequalities · Tseng’s forward-backward method · Korpelevich extragradient method Mathematics Subject Classification (2000) 47H05 · 47J20 · 90C060 · 90C33 · 65K10
Maicon Marques Alves, Benar Fux Svaiter
Added 07 Apr 2016
Updated 07 Apr 2016
Type Journal
Year 2016
Where JOTA
Authors Maicon Marques Alves, Benar Fux Svaiter
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