Article ID: | iaor20131210 |
Volume: | 55 |
Issue: | 2 |
Start Page Number: | 437 |
End Page Number: | 457 |
Publication Date: | Feb 2013 |
Journal: | Journal of Global Optimization |
Authors: | Cai Gang, Bu Shangquan |
Keywords: | vector optimization, Banach space, mapping |
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.