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On Some Ncp-Functions Based On The Generalized Fischer–Burmeister Function


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    (Department of Mathematics, National Taiwan Normal University, Taipei, 11677, Taiwan)

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    In this paper, we study several NCP-functions for the nonlinear complementarity problem (NCP) which are indeed based on the generalized Fischer–Burmeister function, ϕp(a, b) = ||(a, b)||p - (a + b). It is well known that the NCP can be reformulated as an equivalent unconstrained minimization by means of merit functions involving NCP-functions. Thus, we aim to investigate some important properties of these NCP-functions that will be used in solving and analyzing the reformulation of the NCP.

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    Article provided by World Scientific Publishing Co. Pte. Ltd. in its journal Asia-Pacific Journal of Operational Research.

    Volume (Year): 24 (2007)
    Issue (Month): 03 ()
    Pages: 401-420

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    Handle: RePEc:wsi:apjorx:v:24:y:2007:i:03:p:401-420

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    Keywords: NCP-function; complementarity; merit function; bounded level sets; stationary point;


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    Cited by:
    1. Aurél Galántai, 2012. "Properties and construction of NCP functions," Computational Optimization and Applications, Springer, vol. 52(3), pages 805-824, July.


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