DocumentCode
2823281
Title
Vector Optimization Involving Preinvex Functions in Banach Spaces
Author
Guolin Yu
Author_Institution
Res. Inst. of Inf. & Syst. Comput. Sci., North Univ. for Ethnics, Yinchuan, China
Volume
2
fYear
2009
fDate
24-26 April 2009
Firstpage
711
Lastpage
715
Abstract
In this paper, we deal with a vector optimization problem where all functions involved are preinvex functions between Banach spaces. Based upon the properties of a Lagrangian mapping and convex cones, the saddle point conditions and duality theorems are proposed. Finally, the relationship between a vector variational inequality and an unconstraint vector optimization problem is discussed. The results deepen and enrich the content of optimization theory and applications.
Keywords
Banach spaces; optimisation; variational techniques; Banach spaces; Lagrangian mapping; duality theorem; preinvex function; saddle point condition; unconstraint vector optimization problem; vector variational inequality; Constraint optimization; Industrial relations; Lagrangian functions; Mathematics; Pareto optimization; Sufficient conditions;
fLanguage
English
Publisher
ieee
Conference_Titel
Computational Sciences and Optimization, 2009. CSO 2009. International Joint Conference on
Conference_Location
Sanya, Hainan
Print_ISBN
978-0-7695-3605-7
Type
conf
DOI
10.1109/CSO.2009.392
Filename
5194047
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