Abstract

This paper presents necessary and/or sufficient conditions for a continuous map to be monotone, quasimonotone or pseudomonotone. The results are given in terms of approximate Jacobian matrices which reduce to convexificators for a real-valued map. The results extend corresponding results obtained using Clarke generalized Jacobian matrices.

Author information

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

V. Jeyakumar

Department of Applied Mathematics, University of New South Wales, Sydney 2052, Australia.

D. T. Luc

Institute for Mathematics, Hanoi, Vietnam.

S. Schaible

Graduate School of Management, University of California, Riverside, California, USA

Keywords

  • Monotone maps
  • quasimonotone maps
  • pseudomonotone maps
  • approximate Jacobians

Suggested citation

V. Jeyakumar, D. T. Luc, S. Schaible. “Characterizations of Generalized Monotone Nonsmooth Continuous Maps Using Approximate Jacobians.” Journal of Convex Analysis 5 (1998), No. 1, 119–132. https://doi.org/10.68381/jca05-9

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Published by Heldermann Verlag, 1998. Rights now held by Banach Press.