Department of Applied Mathematics, University of New South Wales, Sydney 2052, Australia, firstname.lastname@example.org, and Institute for Mathematics, Hanoi, Vietnam, email@example.com, and Graduate School of Management, University of California, Riverside, California, USA, firstname.lastname@example.org
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.
Keywords: Monotone maps, quasimonotone maps, pseudomonotone maps, approximate Jacobians
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