Results 11 to 20 of about 8,579,021 (292)
Existence of Solutions for Nonconvex and Nonsmooth Vector Optimization Problems [PDF]
Journal of Inequalities and Applications, 2008 We consider the weakly efficient solution for a class of nonconvex and nonsmooth vector optimization problems in Banach spaces. We show the equivalence between the nonconvex and nonsmooth vector optimization problem and the vector variational-like ...
Nan-Jing Huang +2 more
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Local Sharp Vector Variational Type Inequality and Optimization Problems
Mathematics, 2020 In this paper, our goal was to establish the relationship between solutions of local sharp vector variational type inequality and sharp efficient solutions of vector optimization problems, also Minty local sharp vector variational type inequality and ...
Jong Kyu Kim, Salahuddin
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Existence of Solutions for Vector Optimization Problems
Journal of Mathematical Analysis and Applications, 1998 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lee, Gue Myung, Kim, Do Sang, Kuk, Hun
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Topological aspects in vector optimization problems
Vìsnik Dnìpropetrovsʹkogo Unìversitetu: Serìâ Modelûvannâ, 2009 In this paper, we study vector optimization problems in partially ordered Banach spaces. We suppose that an objective mapping possesses a weakened property of lower semicontinuity and make no assumptions on the interior of the ordering cone.
P. I. Kogut, R. Manzo, I. V. Nechay
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Vector optimization problems with nonconvex preferences
Journal of Global Optimization, 2007 This paper studies vector optimization problems where the order is defined by a cone, which is not necessarily convex. First, the authors study six types of variational inequalities. For example, let \(X\) and \(Y\) be two Banach spaces ordered by cones \(C\subset X\) and \(P\subset Y\), respectively. The cone \(C\) is convex, whereas \(P\) is not. Let
Nan-Jing Huang +2 more
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Necessary optimality conditions for nonsmooth vector optimization problems
Mathematical Modelling and Analysis, 2003 In this paper we introduce a notion of generalized derivative for nonsmooth vector functions in order to obtain necessary optimality conditions for vector optimization problems.
Davide La Torre
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Inertial forward-backward methods for solving vector optimization problems. [PDF]
Optimization, 2018 Boţ RI, Grad SM.
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Vector Optimization Problems and Generalized Vector Variational-Like Inequalities [PDF]
Sahand Communications in Mathematical Analysis, 2020 In this paper, some properties of pseudoinvex functions, defined by means of limiting subdifferential, are discussed. Furthermore, the Minty vector variational-like inequality, the Stampacchia vector variational-like inequality, and the weak ...
Ildar Sadeqi, Somayeh Nadi
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Stability kernel of vector optimization problems under perturbations of criterion functions
Доповiдi Нацiональної академiї наук України, 2021 The article is devoted to the study of the influence of uncertainty in initial data on the solutions of optimization multicriterial problems. In the optimization problems, including problems with vector criterion, small perturbations in initial data can
Т.Т. Lebedeva +2 more
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On Sub Convexlike Optimization Problems
Mathematics, 2023 In this paper, we show that the sub convexlikeness and subconvexlikeness defined by V. Jeyakumar are equivalent in locally convex topological spaces. We also deal with set-valued vector optimization problems and obtained vector saddle-point theorems and ...
Renying Zeng
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