Characterizations of generalized convex functions in terms of coderivative

Phan Nhật Tĩnh

DOI: http://dx.doi.org/10.26459/jns.v116i2.3768

Abstract


In this paper we characterize the convexity and the natural quasiconvexity of locally
Lipschitz vector functions via the monotonicity and the quasimonotonicity of their Mordukhovich coderivatives.