Title :
Optimality of Globally Proper Effcient Solutions in Set-valued Optimization Involving Directional Derivatives
Author_Institution :
Res. Inst. of Inf. & Syst. Comput. Sci., Beifang Univ. of Nat., Yinchuan, China
Abstract :
This note deals with the optimality conditions of set-valued unconstraint optimization problems in topological vector spaces. Based upon the concepts of directional derivatives and generalized cone-preinvexity for the set-valued mappings, the necessary and sufficient optimality conditions are established for globally proper minimizer respectively in set-valued optimization problems.
Keywords :
optimisation; set theory; topology; vectors; cone-preinvexity; directional derivatives; globally proper efficient solutions; set-valued mappings; set-valued unconstraint optimization; topological vector spaces; Abstracts; Educational institutions; Equations; Operations research; Optimization; Vectors;
Conference_Titel :
Computational Sciences and Optimization (CSO), 2012 Fifth International Joint Conference on
Conference_Location :
Harbin
Print_ISBN :
978-1-4673-1365-0
DOI :
10.1109/CSO.2012.61
