A Convergent Approximation of the Pareto Optimal Set for Finite Horizon Multiobjective Optimal Control Problems (MOC) Using Viability Theory [PDF]
, 2012 The objective of this paper is to provide a convergent numerical approximation of the Pareto optimal set for finite-horizon multiobjective optimal control problems for which the objective space is not necessarily convex.
Guigue, A.
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Multiobjective optimization to a TB-HIV/AIDS coinfection optimal control problem
, 2017 We consider a recent coinfection model for Tuberculosis (TB), Human Immunodeficiency Virus (HIV) infection and Acquired Immunodeficiency Syndrome (AIDS) proposed in [Discrete Contin. Dyn. Syst. 35 (2015), no. 9, 4639--4663].
Denysiuk, Roman +2 more
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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
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On the Necessity of the Sufficient Conditions in Cone-Constrained Vector Optimization [PDF]
, 2014 The object of investigation in this paper are vector nonlinear programming problems with cone constraints. We introduce the notion of a Fritz John pseudoinvex cone-constrained vector problem.
Ivanov, Vsevolod I.
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The tolerance approach in multiobjective linear fractional programming [PDF]
, 1997 When solving a multiobjective programming problem by the weighted sum ap- proach, weights represent the relative importance associated to the objectives.
Arévalo Quijada, María Teresa +2 more
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Partial Differential Equations in Applied MathematicsIn 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]
J Optim Theory Appl, 2022 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
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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
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Robust Necessary Optimality Conditions for Nondifferentiable Complex Fractional Programming with Uncertain Data. [PDF]
J Optim Theory Appl, 2021 Chen J +4 more
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