PC Points and their Application to Vector Optimization [PDF]
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
On quasistability radius of a vector trajectorial problem with a principle of optimality generalizing Pareto and lexicographic principles [PDF]
A multicriterion linear combinatorial problem with a parametric principle of optimality is considered. This principle is defined by a partitioning of partial criteria onto Pareto preference relation groups within each group and the lexicographic ...
Sergey E. Bukhtoyarov +1 more
doaj
Nonessential Functionals in Multiobjective Optimal Control Problems [PDF]
We address the problem of obtaining well-defined criteria for multiobjective optimal control systems. Necessary and sufficient conditions for an optimal control functional to be nonessential are proved. The results provide effective tools for determining
Malinowska, Agnieszka B. +1 more
core +4 more sources
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
Are multi-criteria decision making techniques useful for solving corporate finance problems? A bibliometric analysis [PDF]
Corporate financial decision making processes (selection of investments and funding sources) are becoming increasingly complex because of the growing number of con icting criteria that need to be considered.
Fruet Cardozo, J. Vicente +2 more
core
Well-posed Vector Optimization Problems and Vector Variational Inequalities [PDF]
In this paper we introduce notions of well-posedness for a vector optimization problem and for a vector variational inequality of differential type, we study their basic properties and we establish the links among them.
Rocca Matteo
core
Duality for multiobjective variational control problems with (Φ,ρ)-invexity [PDF]
In this paper, Mond-Weir and Wolfe type duals for multiobjective variational control problems are formulated. Several duality theorems are established relating efficient solutions of the primal and dual multiobjective variational control problems under ...
Antczak, Tadeusz
core
In this paper, we present a Wolfe-type dual model containing the Caputo-Fabrizio fractional derivative, weak and strong duality results, number of Kuhn-Tucker type sufficient optimality conditions and duality results for variational problems (VPs) with ...
Ved Prakash Dubey +3 more
doaj +1 more source
Unified Robust Necessary Optimality Conditions for Nonconvex Nonsmooth Uncertain Multiobjective Optimization. [PDF]
Wang J, Li S, Feng M.
europepmc +1 more source
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

