Lagrangian Multipliers for Presubconvexlike Optimization Problems of Set Valued Functions

2017/06/12 by Zeng, Renying
#90C26 #90C48 #FOS: Mathematics #Optimization and Control (math.OC)

paper · doi:10.48550/arxiv.1706.03728

Abstract

In this paper, we discuss scalar Lagrangian multipliers and vector Lagrangian multipliers for constrained set-valued optimization problems. We obtain some necessary conditions, sufficient conditions, as well as necessary and sufficient conditions for the existence of weakly efficient solutions.

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