TITLE:
Optimality for Henig Proper Efficiency in Vector Optimization Involving Dini Set-Valued Directional Derivatives
AUTHORS:
Guolin Yu, Huaipeng Bai
KEYWORDS:
Vector Optimization, Dini Set-Valued Directional Derivative, Generalized Preinvex Function, Henig Proper Efficiency
JOURNAL NAME:
Applied Mathematics,
Vol.2 No.7,
July
15,
2011
ABSTRACT: This note studies the optimality conditions of vector optimization problems involving generalized convexity in locally convex spaces. Based upon the concept of Dini set-valued directional derivatives, the necessary and sufficient optimality conditions are established for Henig proper and strong minimal solutions respectively in generalized preinvex vector optimization problems.