Results 1 to 10 of about 8,579,021 (292)
Vector optimization problems and approximated vector optimization problems [PDF]
Journal of Numerical Analysis and Approximation Theory, 2010 In this paper, a so-called approximated vector optimization problem associated to a vector optimization problem is considered. The equivalence between the efficient solutions of the approximated vector optimization problem and efficient solutions of the ...
Eugenia Duca, Dorel I. Duca
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Mathematics, 2022 This article deals with the classes of approximate Minty- and Stampacchia-type vector variational inequalities on Hadamard manifolds and a class of nonsmooth interval-valued vector optimization problems.
Savin Treanţă +2 more
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A new approach to zero duality gap of vector optimization problems using characterizing sets
Tạp chí Khoa học Đại học Đồng Tháp, 2020 In this paper we propose results on zero duality gap in vector optimization problems posed in a real locally convex Hausdorff topological vector space with a vector-valued objective function to be minimized under a set and a convex cone constraint. These
Hai Long Dang, Hong Mo Tran
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Journal of Inequalities and Applications, 2009 We study optimality conditions of globally efficient solution for vector equilibrium problems with generalized convexity. The necessary and sufficient conditions of globally efficient solution for the vector equilibrium problems are obtained.
Qiusheng Qiu
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On Quadratic Scalarization of One Class of Vector Optimization Problems in Banach Spaces
Vìsnik Dnìpropetrovsʹkogo Unìversitetu: Serìâ Modelûvannâ, 2012 We study vector optimization problems in partially ordered Banach Spaces. We suppose that the objective mapping possesses a weakened property of lower semicontinuity and make no assumptions on the interior of the ordering cone.
V. M. Bogomaz, P. I. Kogut
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On local quasi efficient solutions for nonsmooth vector optimization problems
Croatian Operational Research Review, 2020 We are interested in local quasi efficient solutions for nonsmooth vector optimization problems under new generalized approximate invexity assumptions.
Mohsine Jennane +2 more
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Mathematics, 2019 The aim of this article is to study new types of generalized nonsmooth exponential type vector variational-like inequality problems involving Mordukhovich limiting subdifferential operator.
Syed Shakaib Irfan +4 more
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Optimality for set-valued optimization in the sense of vector and set criteria
Journal of Inequalities and Applications, 2017 The vector criterion and set criterion are two defining approaches of solutions for the set-valued optimization problems. In this paper, the optimality conditions of both criteria of solutions are established for the set-valued optimization problems.
Xiangyu Kong, GuoLin Yu, Wei Liu
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E-invexity and generalized E-invexity in E-differentiable multiobjective programming [PDF]
ITM Web of Conferences, 2019 In this paper, a new concept of generalized convexity is introduced for not necessarily differentiable vector optimization problems. For an E-differentiable function, the concept of E-invexity is introduced as a generalization of the E-differentiable E ...
Abdulaleem Najeeb
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On a class of vector optimization problems with a variational approach
Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2014 A class of vector optimization problems is considered. In particular, we reformulate this problem by means of a suitable vector variational inequality, involving the normal cone operator to the adjusted sublevel sets.
Maria B. Donato +2 more
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