Abstract
A well known theorem of convex analysis states that a lower semicontinuous function is convex if and only if its subdifferential is a monotone map [13]. The concept of monotonicity has recently been generalized for gradient map by S. Karamardian and S. Schaible [6] and for subdifferential map by Ellaia and Hassouni in [4]. The study of generalized monotonicity for generalized derivatives (bifunctions) has appeared in [7, 8, 9] and [11].
This research was supported by the National Science Foundation of Hungary (grant# OTKA 1313/1991).
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Komlósi, S. (1994). Generalized monotonicity in non-smooth analysis. In: Komlósi, S., Rapcsák, T., Schaible, S. (eds) Generalized Convexity. Lecture Notes in Economics and Mathematical Systems, vol 405. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-46802-5_20
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DOI: https://doi.org/10.1007/978-3-642-46802-5_20
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