On Lagrangian Duality in Vector Optimization. Applications to the linear case. [PDF]
The paper deals with vector constrained extremum problems. A separation scheme is recalled; starting from it, a vector Lagrangian duality theory is developed. The linear duality due to Isermann can be embedded in this separation approach.
Elisa Pagani
core
PC Points and their Application to Vector Optimization [PDF]
, 1998 AMS subject classification: 90C29, 90C48In this paper we present some results concerning stability under perturbations and some topological properties of minimal point sets in vector optimization.
Bednarczuk, Ewa, Song, Wen
core
Simulation Research on the Relationship between Selected Inconsistency Indices Used in AHP. [PDF]
Entropy (Basel), 2023 Starczewski T.
europepmc +1 more source
On constrained set-valued optimization [PDF]
The set-valued optimization problem minC F(x), G(x)\(-K) 6= ; is considered, where F : Rn Rm and G : Rn Rp are set-valued functions, and C Rm and K Rp are closed convex cones.
Ginchev Ivan, Rocca Matteo
core
First order optimality condition for constrained set-valued optimization [PDF]
A constrained optimization problem with set-valued data is considered. Different kind of solutions are defined for such a problem. We recall weak minimizer, efficient minimizer and proper minimizer.
Crespi Giovanni P. +2 more
core
Symmetric strong vector quasiequilibrium problems in Hausdorff locally convex spaces
Journal of Inequalities and Applications, 2011 In this article, a new symmetric strong vector quasiequilibrium problem in real locally convex Hausdorff topological vector spaces is introduced and studied.
Cho Yeol, Chen Bin, Huang Nan-jing
doaj
Two approaches toward constrained vector optimization and identity of the solutions [PDF]
In this paper we deal with a Fritz John type constrained vector optimization problem. In spite that there are many concepts of solutions for an unconstrained vector optimization problem, we show the possibility “to double” the number of concepts when a ...
Crespi Giovanni P. +2 more
core
First order optimality conditions in set-valued optimization [PDF]
A a set-valued optimization problem minC F(x), x 2 X0, is considered, where X0 X, X and Y are Banach spaces, F : X0 Y is a set-valued function and C Y is a closed cone.
Crespi Giovanni P. +2 more
core
Second-Order Optimality Conditions in Locally Lipschitz Inequality-Constrained Multiobjective Optimization. [PDF]
J Optim Theory Appl, 2020 Constantin E.
europepmc +1 more source
Data for TROTS - The Radiotherapy Optimisation Test Set. [PDF]
Data Brief, 2017 Breedveld S, Heijmen B.
europepmc +1 more source