On second-order sufficient optimality conditions for C¹ vector optimization problems

2018/08/07 by Nguyễn Văn Tuyên, Jen‐Chih Yao, Van Tuyen, Nguyen +5
Computer Science · Mathematics · #49K30 #90C29 #90C46 #Advanced Optimization Algorithms Research #FOS: Mathematics #Nonlinear Differential Equations Analysis #Optimization and Control (math.OC) #Optimization and Variational Analysis

paper · pdf · doi:10.48550/arxiv.1808.02202

openalex publication_date 2018/08/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we present some second-order sufficient conditions in terms of the Demyanov-Pevnyi's second-order directional derivatives for efficiency of C¹ vector optimization problems with constraints. Our results improve and generalize conditions obtained by various authors in recent papers.

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