[LIBRO][B] Scalarization and separation by translation invariant functions

C Tammer, P Weidner - 2020 - Springer
Our scientific collaboration began about 35 years ago, when both of us had just finished our
Ph. D. Theses. The first article which we submitted together dealt with a certain type of …

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 …

Variational principles with generalized distances and the modelization of organizational change

TQ Bao, PQ Khanh, A Soubeyran - Optimization, 2016 - Taylor & Francis
This paper has a twofold focus. The mathematical aspect of the paper shows that new and
existing quasimetric and weak-distance versions of Ekeland's variational principle are …

Approximate solutions of interval-valued optimization problems

N Van Tuyen - arxiv preprint arxiv:2012.02683, 2020 - arxiv.org
This paper deals with approximate solutions of an optimization problem with interval-valued
objective function. Four types of approximate solution concepts of the problem are proposed …

A coradiant based scalarization to characterize approximate solutions of vector optimization problems with variable ordering structures

A Sayadi-bander, R Kasimbeyli, L Pourkarimi - Operations Research …, 2017 - Elsevier
This paper investigates some properties of approximate efficiency in variable ordering
structures where the variable ordering structure is given by a special set valued map. We …

Vector optimization with domination structures: variational principles and applications

TQ Bao, BS Mordukhovich, A Soubeyran… - Set-Valued and …, 2022 - Springer
This paper addresses a large class of vector optimization problems in infinite-dimensional
spaces with respect to two important binary relations derived from domination structures …

VARIATIONAL PRINCIPLES IN SET OPTIMIZATION WITH DOMINATION STRUCTURES AND APPLICATION TO CHANGING JOBS.

TQ Bao, A Soubeyran - Journal of Applied & Numerical …, 2019 - search.ebscohost.com
This paper is devoted to new versions of Ekeland's variational principle in set optimization
with domination structure, where set optimization is an extension of vector optimization from …

Multiobjective approaches based on variable ordering structures for intensity problems in radiotherapy treatment

TT Le - Investigación Operacional, 2018 - revistas.uh.cu
Recently, in many papers intensity modulated radiotherapy treatment problems are studied
as multi-criteria optimization problems with respect to a constant ordering cone. In these …

Ordering structures and their applications

G Eichfelder, M Pilecka - Applications of Nonlinear Analysis, 2018 - Springer
Ordering structures play a fundamental role in many mathematical areas. These include
important topics in optimization theory such as vector optimization and set optimization, but …

APPROXIMATE ELEMENTS FOR SET OPTIMIZATION PROBLEMS WITH RESPECT TO VARIABLE DOMINATION STRUCTURES.

E KÖBIS, MA KÖBIS - Journal of Nonlinear & Variational …, 2022 - search.ebscohost.com
We consider set optimization problems governed by the upper set less relation introduced
by Kuroiwa. We extend some known results from the literature to a setting that includes (a) …