Journal of the Operations Research Society of China ›› 2026, Vol. 14 ›› Issue (2): 533-546.doi: 10.1007/s40305-024-00573-w

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On Error Bounds for the Extended Vertical Linear Complementarity Problem

Shi-Liang Wu1,2, He-Hui Wang1,2   

  1. 1 School of Mathematics, Yunnan Normal University, Kunming 650500, Yunnan, China;
    2 Department of Basic Courses, Jingmen Vocational College, Jingmen 448000, Hubei, China
  • Received:2024-03-05 Revised:2024-11-17 Online:2026-06-30 Published:2026-07-06
  • Contact: Shi-Liang Wu E-mail:slwuynnu@126.com
  • Supported by:
    This research was supported by the National Natural Science Foundation of China (No. 11961082).

Abstract: In this paper, by using a general equivalent form of the minimum function, some new error bounds of the extended vertical linear complementarity problem under appropriate conditions are obtained, which cover some existing results. Not only that, these new error bounds skillfully avoid the inconvenience caused by the row rearrangement technique for error bounds.

Key words: The extended vertical linear complementarity problem, Row W-property, Error bound

CLC Number: