[LIBRO][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 …
[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 …
Ph. D. Theses. The first article which we submitted together dealt with a certain type of …
Set order relations, set optimization, and Ekeland's variational principle
This chapter provides a brief survey on different kinds of set order relations which are used
to compare the objective values of set-valued maps and play a key role to study set …
to compare the objective values of set-valued maps and play a key role to study set …
Characterizations of set relations with respect to variable domination structures via oriented distance function
In this paper, we characterize several known set relations with respect to variable
domination structures by defining scalarization functions in terms of the oriented distance …
domination structures by defining scalarization functions in terms of the oriented distance …
[PDF][PDF] A UNIFIED APPROACH TO BISHOP-PHELPS AND SCALARIZING FUNCTIONALS.
J JAHN - Journal of Applied & Numerical Optimization, 2023 - jano.biemdas.com
In this paper, functionals representing a negative convex cone as the solution set of an
inequality are investigated. This general class of representing functionals includes various …
inequality are investigated. This general class of representing functionals includes various …
Set approach for set optimization with variable ordering structures part II: scalarization approaches
G Eichfelder, M Pilecka - Journal of Optimization Theory and Applications, 2016 - Springer
This paper combines variable ordering structures with set relations in set optimization. We
continue our examinations of set optimization problems and use the optimality notions as …
continue our examinations of set optimization problems and use the optimality notions as …
A Hausdorff-type distance, the Clarke generalized directional derivative and applications in set optimization problems
Y Han - Applicable Analysis, 2022 - Taylor & Francis
In this paper, we introduce a Hausdorff-type distance relative to an ordering cone between
two sets. We obtain some properties of the Hausdorff-type distance. In particular, we give a …
two sets. We obtain some properties of the Hausdorff-type distance. In particular, we give a …
A generalized scalarization method in set optimization with respect to variable domination structures
E Köbis, TT Le, C Tammer - Vietnam Journal of Mathematics, 2018 - Springer
In this paper, we introduce new nonlinear scalarization methods to characterize minimal
elements of set-valued problems equipped with variable domination structures. For certain …
elements of set-valued problems equipped with variable domination structures. For certain …
A projected gradient method for constrained set optimization problems with set-valued map**s of finite cardinality
In this article, a projected gradient method is proposed for constrained set optimization
problems, where the objective set-valued map** is given by a finite number of …
problems, where the objective set-valued map** is given by a finite number of …
Convergence of solutions to set optimization problems with variable ordering structures
LQ Anh, DV Hien - Journal of Global Optimization, 2024 - Springer
In this article, we consider set optimization problems with variable ordering structures. Within
the framework of the set less order relation with variable ordering structures, we investigate …
the framework of the set less order relation with variable ordering structures, we investigate …