Fréchet normal cone

In this paper, we study a concept on the calm B-differentiability, a new kind of generalized differentiabilities for a given vector function introduced by Ye and Zhou in 2017, of the projector onto the circular cone. Then, we discuss its applications in mathematical programming problems with circular cone complementarity constraints. Here, this problem can be considered to be a generalization of mathematical programming problems with second-order cone complementarity constraints, and thus it includes a large class of mathematical models in optimization theory.

10p trinhthamhodang9 04-12-2020 14 4   Download

This Doctoral dissertation in mathematics: Coderivatives of normal cone mappings and applications this dissertation studies some proplem related to the genneralized differ - entiation theory of Mordukhovich and its applications. Our main efforts concentrate on computing or estimating the Fréchet coderivative and the Mordukhovich.

115p madmad123456 25-06-2014 71 8   Download