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Gap Functions and Algorithms for Variational Inequality Problems

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  • Congjun Zhang
  • Baoqing Liu
  • Jun Wei

Abstract

We solve several kinds of variational inequality problems through gap functions, give algorithms for the corresponding problems, obtain global error bounds, and make the convergence analysis. By generalized gap functions and generalized D-gap functions, we give global bounds for the set-valued mixed variational inequality problems. And through gap function, we equivalently transform the generalized variational inequality problem into a constraint optimization problem, give the steepest descent method, and show the convergence of the method.

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  • Congjun Zhang & Baoqing Liu & Jun Wei, 2013. "Gap Functions and Algorithms for Variational Inequality Problems," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-7, November.
    • Handle: RePEc:hin:jnljam:965640
    DOI: 10.1155/2013/965640
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