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  • Research Article
  • Open Access

New classes of generalized invex monotonicity

Journal of Inequalities and Applications20062006:57071

  • Received: 26 December 2004
  • Accepted: 16 August 2005
  • Published:


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.


  • Monotone Mapping
  • Inequality Problem
  • Differential Property
  • Generalize Invex
  • Generalize Invex Monotone


Authors’ Affiliations

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


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© B. Xu and D.L. Zhu 2006

This article is published under license to BioMed Central Ltd. 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.