Approximate solutions of vector optimization problems via improvement sets in real linear spaces
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Global Optimization"
DOI: 10.1007/s10898-017-0593-y
Abstract: We deal with a constrained vector optimization problem between real linear spaces without assuming any topology and by considering an ordering defined through an improvement set E. We study E-optimal and weak E-optimal solutions and… read more here.
Keywords: improvement; approximate solutions; linear spaces; optimization ... See more keywords
Separation Functions and Optimality Conditions in Vector Optimization
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DOI: 10.1007/s10957-016-1029-4
Abstract: In this paper, we propose weak separation functions in the image space for general constrained vector optimization problems on strong and weak vector minimum points. Gerstewitz function is applied to construct a special class of… read more here.
Keywords: optimality conditions; separation functions; vector optimization;
Vector Optimization Problems with Generalized Functional Constraints in Variable Ordering Structure Setting
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Optimization Theory and Applications"
DOI: 10.1007/s10957-018-1269-6
Abstract: This article aims at studying a special class of constrained vector optimization problems in the setting of a variable ordering structure, having a geometric constraint and finitely many generalized functional constraints. Based on a version… read more here.
Keywords: variable ordering; ordering structure; generalized functional; optimization ... See more keywords
Stability and Scalarization for a Unified Vector Optimization Problem
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DOI: 10.1007/s10957-019-01514-x
Abstract: This paper aims at investigating the Painlevé–Kuratowski convergence of solution sets of a sequence of perturbed vector problems, obtained by perturbing the feasible set and the objective function of a unified vector optimization problem, in… read more here.
Keywords: optimization; unified vector; optimization problem; vector optimization ... See more keywords
On the Existence of Weak Efficient Solutions of Nonconvex Vector Optimization Problems
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Optimization Theory and Applications"
DOI: 10.1007/s10957-020-01667-0
Abstract: We study vector optimization problems with solid non-polyhedral convex ordering cones, without assuming any convexity or quasiconvexity assumption. We state a Weierstrass-type theorem and existence results for weak efficient solutions for coercive and noncoercive problems.… read more here.
Keywords: vector; weak efficient; efficient solutions; optimization ... See more keywords
On higher-order proto-differentiability and higher-order asymptotic proto-differentiability of weak perturbation maps in parametric vector optimization
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DOI: 10.1007/s11117-020-00778-2
Abstract: The main purpose of this paper is to study higher-order sensitivity analysis in parametric vector optimization problems. Firstly, the higher-order proto-differentiability/the higher-order asymptotic proto-differentiability of the feasible map of a parametric vector optimization problem are… read more here.
Keywords: vector optimization; order; higher order; proto differentiability ... See more keywords
On approximate solutions of nondifferentiable vector optimization problems with cone-convex objectives
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DOI: 10.1007/s11590-018-1292-4
Abstract: In this paper, we study a nondifferentiable constrained vector optimization problem where the partial order in the image space is induced by a closed, convex and pointed cone with nonempty interior. Under the C-convexity assumption,… read more here.
Keywords: optimization; approximate solutions; nondifferentiable vector; solutions nondifferentiable ... See more keywords
Piecewise Linear Vector Optimization Problems on Locally Convex Hausdorff Topological Vector Spaces
Sign Up to like & getrecommendations! Published in 2017 at "Acta Mathematica Vietnamica"
DOI: 10.1007/s40306-017-0239-7
Abstract: Piecewise linear vector optimization problems in the locally convex Hausdorff topological vector space setting are considered in this paper. The efficient solution set of these problems are shown to be the unions of finitely many… read more here.
Keywords: vector; problems locally; linear vector; optimization problems ... See more keywords
Optimality conditions for a class of E-differentiable vector optimization problems with interval-valued objective functions under E-invexity
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DOI: 10.1080/00207160.2023.2207389
Abstract: In this paper, a class of E-differentiable multiobjective programming with multiple objective functions and with both inequality and equality constraints is considered. The so-called E-Karush–Kuhn–Tucker necessary optimality conditions for a (weak LS-Pareto) LS-Pareto solution are… read more here.
Keywords: optimality conditions; interval valued; vector optimization; objective functions ... See more keywords
Optimality Conditions for Weakly ϵ-Efficient Solutions of Vector Optimization Problems with Applications
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DOI: 10.1080/01630563.2019.1571510
Abstract: Abstract The aim of this article is to provide necessary and sufficient conditions for a feasible point to be a weakly ϵ-efficient solution of a vector optimization problem with cone constraints under generalized convexity notions… read more here.
Keywords: optimality conditions; weakly efficient; conditions weakly; efficient solutions ... See more keywords
A New Geometric Vector Optimization of Predictive Direct Power Control
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DOI: 10.1109/tpel.2019.2944626
Abstract: This article proposes a new vector optimization method suitable for predictive direct power control (P-DPC). Based on the geometric property of parallelograms and diamonds, a simple generic equation is established to form a set of… read more here.
Keywords: predictive direct; control; direct power; power ... See more keywords