On second-order sufficient optimality conditions for $C^1$ vector optimization problems
Nguyen Van Tuyen, Jen-Chih Yao, Ching-Feng Wen, and Yi-Bin Xiao
TL;DR
This paper establishes new second-order sufficient optimality conditions for constrained $C^1$ vector optimization problems using Demyanov-Pevnyi derivatives, improving upon previous results.
Contribution
It introduces generalized second-order conditions for efficiency in constrained $C^1$ vector problems, expanding existing theoretical frameworks.
Findings
New second-order sufficient conditions derived
Conditions improve and generalize previous results
Enhanced understanding of optimality in vector optimization
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 vector optimization problems with constraints. Our results improve and generalize conditions obtained by various authors in recent papers.
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Taxonomy
TopicsOptimization and Variational Analysis · Advanced Optimization Algorithms Research · Nonlinear Differential Equations Analysis