Strong convergence of an iterative method for variational inequality problems and fixed point problems

Xiao Long Qin; Shin Min Kang; Yong Fu Su; Mei Juan Shang

Archivum Mathematicum (2009)

  • Volume: 045, Issue: 2, page 147-158
  • ISSN: 0044-8753

Abstract

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In this paper, we introduce a general iterative scheme to investigate the problem of finding a common element of the fixed point set of a strict pseudocontraction and the solution set of a variational inequality problem for a relaxed cocoercive mapping by viscosity approximate methods. Strong convergence theorems are established in a real Hilbert space.

How to cite

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Qin, Xiao Long, et al. "Strong convergence of an iterative method for variational inequality problems and fixed point problems." Archivum Mathematicum 045.2 (2009): 147-158. <http://eudml.org/doc/250682>.

@article{Qin2009,
abstract = {In this paper, we introduce a general iterative scheme to investigate the problem of finding a common element of the fixed point set of a strict pseudocontraction and the solution set of a variational inequality problem for a relaxed cocoercive mapping by viscosity approximate methods. Strong convergence theorems are established in a real Hilbert space.},
author = {Qin, Xiao Long, Kang, Shin Min, Su, Yong Fu, Shang, Mei Juan},
journal = {Archivum Mathematicum},
keywords = {nonexpansive mapping; strict pseudocontraction; fixed point; variational inequality; relaxed cocoercive mapping; nonexpansive mapping; strict pseudocontraction; fixed point; variational inequality; relaxed cocoercive mapping; viscosity approximation method; strong convergence},
language = {eng},
number = {2},
pages = {147-158},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Strong convergence of an iterative method for variational inequality problems and fixed point problems},
url = {http://eudml.org/doc/250682},
volume = {045},
year = {2009},
}

TY - JOUR
AU - Qin, Xiao Long
AU - Kang, Shin Min
AU - Su, Yong Fu
AU - Shang, Mei Juan
TI - Strong convergence of an iterative method for variational inequality problems and fixed point problems
JO - Archivum Mathematicum
PY - 2009
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 045
IS - 2
SP - 147
EP - 158
AB - In this paper, we introduce a general iterative scheme to investigate the problem of finding a common element of the fixed point set of a strict pseudocontraction and the solution set of a variational inequality problem for a relaxed cocoercive mapping by viscosity approximate methods. Strong convergence theorems are established in a real Hilbert space.
LA - eng
KW - nonexpansive mapping; strict pseudocontraction; fixed point; variational inequality; relaxed cocoercive mapping; nonexpansive mapping; strict pseudocontraction; fixed point; variational inequality; relaxed cocoercive mapping; viscosity approximation method; strong convergence
UR - http://eudml.org/doc/250682
ER -

References

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