Criteria for generalized invex monotonicities

X. M. Yang, Xiaoqi Yang, K. L. Teo

Research output: Journal article publicationJournal articleAcademic researchpeer-review

34 Citations (Scopus)

Abstract

In this paper, under appropriate conditions, we establish that (i) if the gradient of a function is (strictly) pseudo-monotone, then the function is (strictly) pseudo-invex; (ii) if the gradient of a function is quasi-monotone, then the function is quasi-invex; and (iii) if the gradient of a function is strong pseudo-monotone, then the function is strong pseudo-invex.
Original languageEnglish
Pages (from-to)115-119
Number of pages5
JournalEuropean Journal of Operational Research
Volume164
Issue number1
DOIs
Publication statusPublished - 1 Jul 2005

Keywords

  • Generalized invex functions
  • Generalized invex monotonicity
  • Mathematical programming

ASJC Scopus subject areas

  • Information Systems and Management
  • Management Science and Operations Research
  • Statistics, Probability and Uncertainty
  • Applied Mathematics
  • Modelling and Simulation
  • Transportation

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