Journal of Guangdong University of Technology ›› 2008, Vol. 25 ›› Issue (2): 26-28.

• Comprehensive Studies • Previous Articles     Next Articles

A Gap Function for Solving the Problem of Extended Prevariational Inequality

  

  1. Faculty of Applied Mathmatics,Guangdong University of Technology,Guangzhou 510006,China
  • Online:2008-06-01 Published:2008-06-01

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Abstract: Extended Prevariational Inequality is defined,and a gap function is provided for solving it.

Key words: variational inequality； extended prevariational inequality； gap function.；

[1] N. Yamashita,K. Taji,M. Fukushima.  Unconstrained Optimization Reformulations of Variational Inequality Problems[J] ,1997

[2] Patrick T. Harker,Jong-Shi Pang.  Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applications[J] ,1990

[3] Nobuo Yamashita,,KouichiTaji,Masao Fukushima.Uncin-strained optimization reformulations of variational inequalityproblems. Journal of Optimization Theory and Applications . 1997

[4] Harker P T,Pang J S.Finite-dimension Variational inequality and nonlinear complementariy problems : A survey of theory , algorithm ,and applications. Mathematical Programming . 1990

[5] Yang X Q,Chen G Y.A class of nonconvex functions and variational inequalities. Journal of Mathematical Analysis and Applications . 1992
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