Stationary point conditions for the FB merit function associated with symmetric cones

@article{Pan2010StationaryPC,
  title={Stationary point conditions for the FB merit function associated with symmetric cones},
  author={Shaohua Pan and Yu-Lin Chang and Jein-Shan Chen},
  journal={Oper. Res. Lett.},
  year={2010},
  volume={38},
  pages={372-377}
}
For the symmetric cone complementarity problem, we show that each stationary point of the unconstrained minimization reformulation based on the Fischer-Burmeister merit function is a solution to the problem, provided that the gradient operators of the mappings involved in the problem satisfy column monotonicity or have the Cartesian P"0-property. These results answer the open question proposed in the article that appeared in Journal of Mathematical Analysis and Applications 355 (2009) 195-215. 

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