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Generalized monotonicity and generalized convexity

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Abstract

Generalized monotonocity of bifunctions or multifunctions is a rather new concept in optimization and nonsmooth analysis. It is shown in the present paper how quasiconvexity, pseudoconvexity, and strict pseudoconvexity of lower semicontinuous functions can be characterized via the quasimonotonicity, pseudomonotonicity, and strict pseudomonotonicity of different types of generalized derivatives, including the Dini, Dini-Hadamard, Clarke, and Rockafellar derivatives as well.

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Authors and Affiliations

  1. Faculty of Economics, Janus Pannonius University, Pécs, Hungary

    S. Komlósi (Associate Professor)

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  1. S. Komlósi
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Communicated by S. Schaible

This research was supported by the National Science Foundation of Hungary, Grant No. OTKA 1313/1991.

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Komlósi, S. Generalized monotonicity and generalized convexity. J Optim Theory Appl 84, 361–376 (1995). https://doi.org/10.1007/BF02192119

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