Recent contributions to linear semi-infinite optimization: an update

MA Goberna, MA López - Annals of Operations Research, 2018 - Springer
This paper reviews the state-of-the-art in the theory of deterministic and uncertain linear
semi-infinite optimization, presents some numerical approaches to this type of problems …

Karush–Kuhn–Tucker optimality conditions and duality for convex semi-infinite programming with multiple interval-valued objective functions

LT Tung - Journal of Applied Mathematics and Computing, 2020 - Springer
This paper deals with convex semi-infinite programming with multiple interval-valued
objective functions. We first investigate necessary and sufficient Karush–Kuhn–Tucker …

Robust solutions to multi-objective linear programs with uncertain data

MA Goberna, V Jeyakumar, G Li… - European Journal of …, 2015 - Elsevier
In this paper we examine multi-objective linear programming problems in the face of data
uncertainty both in the objective function and the constraints. First, we derive a formula for …

Recent contributions to linear semi-infinite optimization

MA Goberna, MA López - 4OR, 2017 - Springer
This paper reviews the state-of-the-art in the theory of deterministic and uncertain linear
semi-infinite optimization, presents some numerical approaches to this type of problems …

Characterization of (weakly/properly/robust) efficient solutions in nonsmooth semi-infinite multiobjective optimization using convexificators

A Kabgani, M Soleimani-damaneh - Optimization, 2018 - Taylor & Francis
The main aim of this paper is to investigate weakly/properly/robust efficient solutions of a
nonsmooth semi-infinite multiobjective programming problem, in terms of convexificators. In …

Robust solutions of multiobjective linear semi-infinite programs under constraint data uncertainty

MA Goberna, V Jeyakumar, G Li… - SIAM Journal on …, 2014 - SIAM
The multiobjective optimization model studied in this paper deals with simultaneous
minimization of finitely many linear functions subject to an arbitrary number of uncertain …

On optimality conditions and duality theorems for robust semi-infinite multiobjective optimization problems

JH Lee, GM Lee - Annals of Operations Research, 2018 - Springer
In this paper, we consider a semi-infinite multiobjective optimization problem with more than
two differentiable objective functions and uncertain constraint functions, which is called a …

Optimality conditions in convex multiobjective SIP

MA Goberna, N Kanzi - Mathematical Programming, 2017 - Springer
The purpose of this paper is to characterize the weak efficient solutions, the efficient
solutions, and the isolated efficient solutions of a given vector optimization problem with …

Strong Karush–Kuhn–Tucker optimality conditions for multiobjective semi-infinite programming via tangential subdifferential

LT Tung - RAIRO-Operations Research-Recherche …, 2018 - numdam.org
The main aim of this paper is to study strong Karush–Kuhn–Tucker (KKT) optimality
conditions for nonsmooth multiobjective semi-infinite programming (MSIP) problems. By …

Robust optimality conditions and duality for nonsmooth multiobjective fractional semi-infinite programming problems with uncertain data

NT Thu Thuy, T Van Su - Optimization, 2023 - Taylor & Francis
In this article, some Karush-Kuhn-Tucker type robust optimality conditions and duality for an
uncertain nonsmooth multiobjective fractional semi-infinite programming problem ((UMFP) …