Some characterizations of approximate solutions for robust semi-infinite optimization problems

X Sun, KL Teo, XJ Long - Journal of Optimization Theory and Applications, 2021 - Springer
This paper deals with robust ε ε-quasi Pareto efficient solutions of an uncertain semi-infinite
multiobjective optimization problem. By using robust optimization and a modified ε ε …

Robust approximate optimal solutions for nonlinear semi-infinite programming with uncertainty

X Sun, KL Teo, J Zeng, L Liu - Optimization, 2020 - Taylor & Francis
In this paper, we deal with robust approximate quasi optimal solutions for a class of
nonlinear semi-infinite programming with data uncertainty (USIP) in both the objective and …

On isolated/properly efficient solutions in nonsmooth robust semi-infinite multiobjective optimization

TH Pham - Bulletin of the Malaysian Mathematical Sciences …, 2023 - Springer
In this paper, we deal with nonsmooth robust semi-infinite multiobjective optimization
problems. Both necessary and sufficient optimality conditions are established. We also …

On optimality conditions and duality theorems for approximate solutions of nonsmooth infinite optimization problems

TH Pham - Positivity, 2023 - Springer
On optimality conditions and duality theorems for approximate solutions of nonsmooth infinite
optimization problems | SpringerLink Skip to main content Advertisement SpringerLink Log in …

Quasi -solutions in a semi-infinite programming problem with locally Lipschitz data

L Jiao, DS Kim, Y Zhou - Optimization Letters, 2021 - Springer
Under the fulfilment of the limiting constraint qualification, a necessary condition for a quasi
ϵ ϵ-solution to a semi-infinite programming problem (SIP) by means of employing some …

On approximate quasi Pareto solutions in nonsmooth semi-infinite interval-valued vector optimization problems

N Huy Hung, H Ngoc Tuan, N Van Tuyen - Applicable Analysis, 2023 - Taylor & Francis
This paper deals with approximate solutions of a nonsmooth semi-infinite programming with
multiple interval-valued objective functions. We first introduce four types of approximate …

Hadamard well-posedness for a set optimization problem with an infinite number of constraints

TQ Duy - Optimization, 2024 - Taylor & Francis
This article aims to study the Hadamard well-posedness for a set optimization problem with
an infinite number of constraints, where Kuroiwa's lower set less relation is used to compare …

-Quasi-Weakly Solution for Semi-infinite Vector Optimization Problems with Data Uncertainty

TH Pham, TS Nguyen - Journal of the Operations Research Society of …, 2023 - Springer
This paper is concerned with an ε-quasi-weakly solution for a semi-infinite vector
optimization problem with data uncertainty in constraints by using the Clarke subdifferential …

Quasi Efficient Solutions and Duality Results in a Multiobjective Optimization Problem with Mixed Constraints via Tangential Subdifferentials

M Jennane, EM Kalmoun, L Lafhim, A Houmia - Mathematics, 2022 - mdpi.com
We take up a nonsmooth multiobjective optimization problem with tangentially convex
objective and constraint functions. In employing a suitable constraint qualification, we …

Mixed type duality for a class of multiple objective optimization problems with an infinite number of constraints

LG Jiao, B Van Dinh, D Kim… - Journal of Nonlinear and …, 2019 - eprints.lqdtu.edu.vn
This paper focuses on the study of optimality conditions and mixed type duality for a class of
multiple objective optimization problems with an infinite number of constraints, denoted by …