Calculus Rules for Derivatives of Multimaps |
| |
| Authors: | S J Li K W Meng J-P Penot |
| |
| Institution: | (1) College of Mathematics and Science, Chongqing University, Chongqing, 400044, China;(2) Dpartement de Mathmatiques Appliques, Facult des Sciences, Av. de l’Universit, 64000 Pau Cedex, France;(3) Laboratoire de Mathmatiques Appliques, Universit de Pau, UMR CNRS, 5142, France |
| |
| Abstract: | In this paper, by virtue of two intermediate derivative-like multifunctions, which depend on an element in the intermediate
space, some exact calculus rules are obtained for calculating the derivatives of the composition of two set-valued maps. Similar
rules are displayed for sums. Moreover, by using these calculus rules, the solution map of a parametrized variational inequality
and the variations of the feasible set of a parametrized mathematical programming problem are studied.
This research was partially supported by the National Natural Science Foundation of China (Grant numbers: 10871216 and 60574073). |
| |
| Keywords: | Calmness Contingent derivative Incident derivative Proto-differentiability Semi-differentiability Upper Lipschitz property |
| 本文献已被 SpringerLink 等数据库收录！ |
|
