Modified extragradient methods for variational inequality problems and fixed point problems for an infinite family of nonexpansive mappings in Banach spaces
In this paper, we introduce a new general iterative algorithm for finding a common element of the set of common fixed points of an infinite family of nonexpansive mappings and the set of solutions of a general variational inequality for two inverse-strongly accretive mappings in Banach space. We obtain some strong convergence theorems by a modified extragradient method under suitable conditions. Our results extend the recent results announced by many others. Copyright Springer Science+Business Media, LLC. 2013
Year of publication: |
2013
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Authors: | Cai, Gang ; Bu, Shangquan |
Published in: |
Journal of Global Optimization. - Springer. - Vol. 55.2013, 2, p. 437-457
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Publisher: |
Springer |
Subject: | Strong convergence | Fixed point | Nonexpansive mapping | Variational inequality | Banach space |
Saved in:
Online Resource