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