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  • Research Article
  • Open Access

Some Characteristic Quantities Associated with Homogeneous -Type and -Type Functions

Journal of Inequalities and Applications20072007:084146

  • Received: 22 November 2006
  • Accepted: 20 March 2007
  • Published:


Several characteristic quantities associated with homogeneous -type and -type functions are introduced and studied in this paper. Further, the concepts of -property and -property for a couple of functions are introduced and some quantities for a pair of homogeneous functions having -property and -property are obtained, respectively. As an application, a bound for the solution of the homogeneous complementarity problem with a -type function is derived.


  • Complementarity Problem
  • Type Function
  • Homogeneous Function
  • Characteristic Quantity
  • Quantity Associate


Authors’ Affiliations

Department of Mathematics, Sichuan University, Chengdu, Sichuan, 610064, China
Department of Mathematics Education and the RINS, Gyeongsang National University, Chinju, 660-701, Korea


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© Ya-Ping Fang et al. 2007

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.