Title :
Duality for Nonsmooth Vector Optimization Using Mordukhovich´s Subdifferential in Asplund Spaces
Author :
Jiang, Jun ; Xu, Shuli
Author_Institution :
Hubei Province Key Lab. of Syst. Sci. in Metall. Process, Wuhan Univ. of Sci. & Technol., Wuhan, China
Abstract :
By using Mordukhovich´s Subdifferential in Asplund Spaces, we obtain sufficiency conditions and duality for vector optimization problem with inequalities and equalities constraints. We extend the concept of type I, quasi type I and pseudo type I invex functions defined on Asplund spaces.
Keywords :
duality (mathematics); optimisation; vectors; Mordukhovich subdifferential; asplund spaces; duality; nonsmooth vector optimization; pseudo type I invex functions; quasi type I; Functional analysis; Laboratories; Limiting; Optimization; Programming; Space technology; Topology; Duality; Nonsmooth; Subdifferential; Vector optimization;
Conference_Titel :
Artificial Intelligence and Computational Intelligence (AICI), 2010 International Conference on
Conference_Location :
Sanya
Print_ISBN :
978-1-4244-8432-4
DOI :
10.1109/AICI.2010.343