Title :
Saddle Point and Duality for Vector Optimization with Generalized Convexity
Author :
Xu, Shuli ; Jiang, Jun
Author_Institution :
Syst. Sci. Centre, Wuhan Univ. of Sci. & Technol., Wuhan
Abstract :
In this paper, the saddle point optimality conditions and Lagrange dual problems of vector optimization for nearly convex function are studied. The optimality conditions of Fritz John and Kuhn-Tucker saddle points and their relations to the efficient solutions and weak efficient solutions are presented.
Keywords :
convex programming; vectors; Lagrange dual problems; duality; generalized convexity; nearly convex function; saddle point; vector optimization; Educational institutions; Fuzzy systems; Lagrangian functions; Lagrange duality; Nearly convex functions; Saddle point;
Conference_Titel :
Fuzzy Systems and Knowledge Discovery, 2008. FSKD '08. Fifth International Conference on
Conference_Location :
Shandong
Print_ISBN :
978-0-7695-3305-6
DOI :
10.1109/FSKD.2008.387
