Characterizations of Quasiconvex Functions and Pseudomonotonicity of Subdifferentials
نویسنده
چکیده
In this paper we introduce the concepts of quasimonotone maps and pseudoconvex functions. Moreover, a notion of pseudomonotonicity for multi mappings is introduced; it is shown that, if a function f is continuous, then its pseudoconvexity is equivalent to the pseudomonotonicity of its generalized subdifferential in the sense of Clarke and Rockafellar and prove that a lower semicontinuous function on an infinite dimensional space is quasiconvex if and only if its generalized subdifferential is quasimonotone.
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