Abstract

The notions of a quasi-monotone operator and of a cyclically quasi-monotone operator are introduced, and relations between such operators and quasi-convex functions are established.

Author information

Contact details are reproduced from the original publication and may be historical.

Vladimir L. Levin

Central Economics and Mathematics Institute, Russian Academy of Sciences, Krasikova St 32, Moscow 117418, Russia.

Keywords

  • quasi-convex function
  • monotone and cyclically monotone operators
  • quasi-monotone and cyclically quasi-monotone operators
  • revealed preference axioms in mathematical economics

References

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Suggested citation

V. L. Levin. “Quasi-Convex Functions and Quasi-Monotone Operators.” Journal of Convex Analysis 2 (1995), No. 1&2, 167–172. https://doi.org/10.68381/jca02011

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Published by Heldermann Verlag, 1995. Rights now held by Banach Press LLC.