Solution properties and error bounds for semi-infinite complementarity problems

Jinchuan Zhou, Naihua Xiu, Jein Shan Chen

研究成果: 雜誌貢獻文章

4 引文 斯高帕斯(Scopus)

摘要

In this paper, we deal with the semi-infinite complementarity problems (SICP), in which several important issues are covered, such as solvability, semismoothness of residual functions, and error bounds. In particular, we characterize the solution set by investigating the relationship between SICP and the classical complementarity problem. Furthermore, we show that the SICP can be equivalently reformulated as a typical semi-infinite min-max programming problem by employing NCP functions. Finally, we study the concept of error bounds and introduce its two variants, ε-error bounds and weak error bounds, where the concept of weak error bounds is highly desirable in that the solution set is not restricted to be nonempty.

原文英語
頁(從 - 到)99-115
頁數17
期刊Journal of Industrial and Management Optimization
9
發行號1
DOIs
出版狀態已發佈 - 2013 三月 26

ASJC Scopus subject areas

  • Business and International Management
  • Strategy and Management
  • Control and Optimization
  • Applied Mathematics

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