Article ID: | iaor20134148 |
Volume: | 56 |
Issue: | 4 |
Start Page Number: | 1529 |
End Page Number: | 1542 |
Publication Date: | Aug 2013 |
Journal: | Journal of Global Optimization |
Authors: | Cai Gang, Bu Shangquan |
Keywords: | global convergence, mapping, fixed point theory |
In this paper, we introduce a new iterative algorithm for finding a common element of the set of solutions of a general variational inequality problem for finite inverse‐strongly accretive mappings and the set of common fixed points for a nonexpansive mapping in a uniformly smooth and uniformly convex Banach space. We obtain a strong convergence theorem under some suitable conditions. Our results improve and extend the recent ones announced by many others in the literature.