• Characterizations of Generalized Convex Functions in Terms of Coderivative

    Phan Nhat Tinh1, Maria Do Rosário de Pinho2

    1. Department of Mathematics, Faculty of sciences, University of Hue, Vietnam.
    2. Faculdade de Engenharia, Universidade do Porto, Porto, Portugal.

    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.

    Keywords: convexity, quasiconvexity, monotonicity, quasimonotonicity, coderivative, Clark-Rockafellar subgradient.

    Pages: 123 – 138 | Full PDF Paper