Journal of the Operations Research Society of China >

2024 , Vol. 12 >Issue 3: 837 - 845

DOI: https://doi.org/10.1007/s40305-022-00433-5

A Note on B-Subdifferential of Projection Operator on Polyhedral Set

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  • Institute of Operations Research and Control Theory, School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, Liaoning, China

Received date: 2022-02-24

  Revised date: 2022-06-04

  Online published: 2024-08-15

Supported by

This work was supported by the National Natural Science Foundation of China (Nos.12071055, 11971089 and 11731013).

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Abstract

This note characterizes the set of Fréchet-differentiable points of the projection operator on a polyhedral set and the B-subdifferential of this projection operator at any point.

Key words： Polyhedral set; Projection operator; B-subdifferential; Strong regularity

Cite this article

Hao-Yang Liu, Jia Wu, Li-Wei Zhang . A Note on B-Subdifferential of Projection Operator on Polyhedral Set[J]. Journal of the Operations Research Society of China, 2024 , 12(3) : 837 -845 . DOI: 10.1007/s40305-022-00433-5

References

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[3] Robinson, S.M.: Strongly regular generalized equations. Math. Oper. Res. 5, 43-62(1980)
[4] Jongen, HTh., Ruckmann, J., Tammer, K.: Implicit functions and sensitivity of stationary points. Math. Program. 49, 123-138(1990)
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