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Global Bounds for Cocoercive Variational Inequalities

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  • Fan Jianghua
  • Wang Xiaoguo

Abstract

By using the strong monotonicity of the perturbed fixed‐point map and the normal map associated with cocoercive variational inequalities, we establish two new global bounds measuring the distance between any point and the solution set for cocoercive variational inequalities.

Suggested Citation

  • Fan Jianghua & Wang Xiaoguo, 2007. "Global Bounds for Cocoercive Variational Inequalities," Abstract and Applied Analysis, John Wiley & Sons, vol. 2007(1).
    • Handle: RePEc:wly:jnlaaa:v:2007:y:2007:i:1:n:037217
    DOI: 10.1155/2007/37217
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    References listed on IDEAS

    as
    1. Jong-Shi Pang, 1987. "A Posteriori Error Bounds for the Linearly-Constrained Variational Inequality Problem," Mathematics of Operations Research, INFORMS, vol. 12(3), pages 474-484, August.
    2. N. Yamashita & K. Taji & M. Fukushima, 1997. "Unconstrained Optimization Reformulations of Variational Inequality Problems," Journal of Optimization Theory and Applications, Springer, vol. 92(3), pages 439-456, March.
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    Cited by:

    1. Rachana Gupta & Aparna Mehra, 2012. "Gap functions and error bounds for quasi variational inequalities," Journal of Global Optimization, Springer, vol. 53(4), pages 737-748, August.

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