Journal of Inequalities and Applications
Volume 2006 (2006), Article ID 57071, 19 pages

New classes of generalized invex monotonicity

B. Xu1,2 and D. L. Zhu1

1School of Management, Fudan University, Shanghai 200433, China
2Department of Management Science and Engineering, Nanchang University, Jiangxi 330047, China

Received 26 December 2004; Accepted 16 August 2005

Copyright © 2006 B. Xu and D. L. Zhu. 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.


This paper introduces new classes of generalized invex monotone mappings and invex cocoercive mappings. Their differential property and role to analyze and solve variational-like inequality problem are presented.