Journal of Inequalities and Applications
Volume 2010 (2010), Article ID 510838, 15 pages
doi:10.1155/2010/510838
Research Article

Stability Analysis for Higher-Order Adjacent Derivative in Parametrized Vector Optimization

X. K. Sun and S. J. Li

College of Mathematics and Science, Chongqing University, Chongqing 400030, China

Received 29 March 2010; Accepted 3 August 2010

Academic Editor: Jong Kim

Copyright © 2010 X. K. Sun and S. J. Li. 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 virtue of higher-order adjacent derivative of set-valued maps, relationships between higher-order adjacent derivative of a set-valued map and its profile map are discussed. Some results concerning stability analysis are obtained in parametrized vector optimization.