[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 …

[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 …

Set order relations, set optimization, and Ekeland's variational principle

QH Ansari, PK Sharma - … and Applications: IFSOVAA-2020, Varanasi, India …, 2021 - Springer
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 …

Characterizations of set relations with respect to variable domination structures via oriented distance function

QH Ansari, E Köbis, PK Sharma - Optimization, 2018 - Taylor & Francis
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 …

[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 …

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 …

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 …

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 …

A projected gradient method for constrained set optimization problems with set-valued map**s of finite cardinality

D Ghosh, K Kumar, JC Yao, X Zhao - Engineering Optimization, 2025 - Taylor & Francis
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 …

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 …