Abstract and Applied Analysis
Volume 2012 (2012), Article ID 236413, 14 pages
http://dx.doi.org/10.1155/2012/236413
Research Article

Hölder Continuity of Solutions to Parametric Generalized Vector Quasiequilibrium Problems

Z. Y. Peng1,2

1School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, China
2College of Science, Chongqing Jiao Tong University, Chongqing 400074, China

Received 2 October 2011; Accepted 2 December 2011

Academic Editor: Svatoslav Staněk

Copyright © 2012 Z. Y. Peng. 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.

Abstract

By using a linear scalarization method, we establish sufficient conditions for the Hölder continuity of the solution mappings to a parametric generalized vector quasiequilibrium problem with set-valued mappings. These results extend the recent ones in the recent literature, (e.g., Li et al. (2009), Li et al. (2011)). Furthermore, two examples are given to illustrate the obtained result.