[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 …
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 …
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 …
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 …
supremum. In order to get existence and appropriate properties of the infimum, the image …
Set optimization—a rather short introduction
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 …
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 …
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
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 …
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 …
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 …
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
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 …
consider two set scalarization functions of type sup-inf, which are extensions of the oriented …