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

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  • JEIN-SHAN CHEN

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

Abstract

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.

Suggested Citation

  • Jein-Shan Chen, 2007. "On Some Ncp-Functions Based On The Generalized Fischer–Burmeister Function," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 24(03), pages 401-420.
    • Handle: RePEc:wsi:apjorx:v:24:y:2007:i:03:n:s0217595907001292
    DOI: 10.1142/S0217595907001292
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    Cited by:

    1. Zhang, Xu & Peng, Zheng, 2020. "A modulus-based nonmonotone line search method for nonlinear complementarity problems," Applied Mathematics and Computation, Elsevier, vol. 387(C).

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