Author(s)

Guolin Yu, Huaipeng Bai

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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.

Vector Optimization, Dini Set-Valued Directional Derivative, Generalized Preinvex Function, Henig Proper Efficiency

Yu, G. and Bai, H. (2011) Optimality for Henig Proper Efficiency in Vector Optimization Involving Dini Set-Valued Directional Derivatives. Applied Mathematics, 2, 922-925. doi: 10.4236/am.2011.27126.