Academic Editor: T. Benavides
Copyright © 2011 Xian Bing Pan et al. This is an open access article distributed under the
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
The purpose of this paper is (1) a general nonlinear mixed set-valued inclusion
framework for the over-relaxed -proximal point algorithm based on the (, )-accretive mapping
is introduced, and (2) it is applied to the approximation solvability of a general class of
inclusions problems using the generalized resolvent operator technique due to Lan-Cho-Verma,
and the convergence of iterative sequences generated by the algorithm is discussed in -uniformly
smooth Banach spaces. The results presented in the paper improve and extend some known
results in the literature.