RT info:eu-repo/semantics/article
T1 Two-Variable Domination Structures and Applications in Vector Optimization
A1 Ngoan, Dang Thi
A1 Gutiérrez, César
A1 An, Duong Thi Viet
K1 Variable domination structure
K1 Vector optimization
K1 Nondominated solutions
K1 Minimal solutions
K1 Nonlinear scalarization functions
AB In this paper, we introduce and study domination structures in real topological Hausdorff linear spaces that take into account the two involved points at each comparison. These binary relations are then applied to define notions of minimizer of a set and optimality concepts for vector optimization problems in the usual way, and their basic properties are obtained. Results on nonlinear scalarization to characterize them are also stated, which can be applied to vector optimization problems with variable ordering structures where the known ones do not work. Comparisons with results of the literature and illustrative examples are given as well.
PB Springer
SN 0022-3239
YR 2026
FD 2026
LK https://uvadoc.uva.es/handle/10324/78757
UL https://uvadoc.uva.es/handle/10324/78757
LA spa
NO Journal of Optimization Theory and Applications, 2026, vol. 208, n. 1, p. 1-36.
NO Producción Científica
DS UVaDOC
RD 19-oct-2025