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Optimality Conditions for Weakly ϵ-Efficient Solutions of Vector Optimization Problems with Applications

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Abstract The aim of this article is to provide necessary and sufficient conditions for a feasible point to be a weakly ϵ-efficient solution of a vector optimization problem with cone… Click to show full abstract

Abstract The aim of this article is to provide necessary and sufficient conditions for a feasible point to be a weakly ϵ-efficient solution of a vector optimization problem with cone constraints under generalized convexity notions and a weak constraint qualification. Our results permit to recover earlier established theorems.

Keywords: optimality conditions; weakly efficient; conditions weakly; efficient solutions; optimization; vector optimization

Journal Title: Numerical Functional Analysis and Optimization
Year Published: 2019

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