Results 11 to 20 of about 682,989 (319)
On vector variational E-inequalities and differentiable vector optimization problem [PDF]
OPSEARCH, 2023 AbstractIn this paper, in order to characterize optimality of a class of nonconvex differentiable multiobjective programming problems, we introduce two new types of vector variational-like inequalities, namely, a weak variationalE-inequality and a vector variationalE-inequality.
Tadeusz Antczak, Najeeb Abdulaleem
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Fully Piecewise Linear Vector Optimization Problems
Journal of Optimization Theory and Applications, 2021 We distinguish two kinds of piecewise linear functions and provide an interesting representation for a piecewise linear function between two normed spaces. Based on such a representation, we study a fully piecewise linear vector optimization (PLP) with the objective and constraint functions being piecewise linear.
Xi Yin Zheng, Xiaoqi Yang
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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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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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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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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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EURO Journal on Computational Optimization, 2018 An instance of a balanced optimization problem with vector costs consists of a ground set X, a cost-vector for every element of X, and a system of feasible subsets over X.
AnnetteM.C. Ficker +2 more
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Accelerated Particle Swarm Optimization and Support Vector Machine for Business Optimization and Applications [PDF]
, 2011 Business optimization is becoming increasingly important because all business activities aim to maximize the profit and performance of products and services, under limited resources and appropriate constraints.
A. Chatterjee +23 more
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A Parametric Simplex Algorithm for Linear Vector Optimization Problems [PDF]
, 2016 In this paper, a parametric simplex algorithm for solving linear vector optimization problems (LVOPs) is presented. This algorithm can be seen as a variant of the multi-objective simplex (Evans-Steuer) algorithm [12].
Rudloff, Birgit +2 more
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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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