[图书][B] Vector optimization

J Jahn - 2009 - Springer
The continuous and increasing interest concerning vector optimization perceptible in the
research community, where contributions dealing with the theory of duality abound lately …

[图书][B] Variational methods in partially ordered spaces

A Göpfert, H Riahi, C Tammer, C Zalinescu - 2003 - Springer
CMS/CAIMS Books in Mathematics is a collection of monographs and graduatelevel
textbooks published in cooperation jointly with the Canadian Mathematical Society-Societé …

New order relations in set optimization

J Jahn, TXD Ha - Journal of Optimization Theory and Applications, 2011 - Springer
In this paper we study a set optimization problem (SOP), ie we minimize a set-valued
objective map F, which takes values on a real linear space Y equipped with a pre-order …

[图书][B] Vector optimization with infimum and supremum

A Löhne - 2011 - books.google.com
The theory of Vector Optimization is developed by a systematic usage of infimum and
supremum. In order to get existence and appropriate properties of the infimum, the image …

Set optimization—a rather short introduction

AH Hamel, F Heyde, A Löhne, B Rudloff… - … The State of the Art: From …, 2015 - Springer
Recent developments in set optimization are surveyed and extended including various set
relations as well as fundamental constructions of a convex analysis for set-and vector …

[图书][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 …

Pointwise well-posedness in set optimization with cone proper sets

C Gutiérrez, E Miglierina, E Molho, V Novo - Nonlinear Analysis: Theory …, 2012 - Elsevier
This paper deals with the well-posedness property in the setting of set optimization
problems. By using a notion of well-posed set optimization problem due to Zhang et …

Scalarization in set optimization with solid and nonsolid ordering cones

C Gutiérrez, B Jiménez, E Miglierina… - Journal of Global …, 2015 - Springer
This paper focuses on characterizations via scalarization of several kinds of minimal
solutions of set-valued optimization problems, where the objective values are compared …

[PDF][PDF] Variational principles for set-valued mappings with applications to multiobjective optimization

T Bao, B Mordukhovich - Control and Cybernetics, 2007 - eudml.org
There is an abundant literature on various problems of multiobjective opti hyphen mization
period One of the first work in modern variational theory for such problems was done by …

Characterization of set relations through extensions of the oriented distance

B Jiménez, V Novo, A Vílchez - Mathematical Methods of Operations …, 2020 - Springer
In the framework of normed spaces ordered by a convex cone not necessarily solid, we
consider two set scalarization functions of type sup-inf, which are extensions of the oriented …