On the equivalence of extended generalized complementarity and generalized least-element problems

  • Q. H. Ansari*
  • , T. C. Lai
  • , J. C. Yao
  • *Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

18 Scopus citations

Abstract

In this paper, we derive some equivalences of generalized nonlinear programs, generalized least-element problems, and extended generalized complementarity problems under certain regularity and growth conditions. We also generalize the notion of a Z-map for point-to-set maps. Our results extend recent results by Schaible and Yao (Ref. 1).

Original languageEnglish
Pages (from-to)277-288
Number of pages12
JournalJournal of Optimization Theory and Applications
Volume102
Issue number2
DOIs
StatePublished - Aug 1999
Externally publishedYes

Keywords

  • Extended generalized complementarity problems
  • Generalized least-element problems
  • Generalized nonlinear programs
  • Generalized variational inequality problems
  • Strictly pseudomonotone maps
  • Z-maps

ASJC Scopus subject areas

  • Management Science and Operations Research
  • Control and Optimization
  • Applied Mathematics

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