Results 21 to 30 of about 32,948 (308)
Kuhn-Tucker Optimality Conditions for Vector Equilibrium Problems
Journal of Inequalities and Applications, 2010 By using the concept of Fréchet differentiability of mapping, we present the Kuhn-Tucker optimality conditions for weakly efficient solution, Henig efficient solution, superefficient solution, and globally efficient solution to the vector ...
Wei Zhen-Fei, Gong Xun-Hua
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Optimality Conditions for Group Sparse Constrained Optimization Problems
Mathematics, 2021 In this paper, optimality conditions for the group sparse constrained optimization (GSCO) problems are studied. Firstly, the equivalent characterizations of Bouligand tangent cone, Clarke tangent cone and their corresponding normal cones of the group ...
Wenying Wu, Dingtao Peng
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Optimality Conditions and Moreau--Yosida Regularization for Almost Sure State Constraints [PDF]
, 2021 We analyze a potentially risk-averse convex stochastic optimization problem, where the control is deterministic and the state is a Banach-valued essentially bounded random variable. We obtain strong forms of necessary and sufficient optimality conditions
Geiersbach, Caroline +3 more
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KKT reformulation and necessary conditions for optimality in nonsmooth bilevel optimization [PDF]
, 2014 For a long time, the bilevel programming problem has essentially been considered as a special case of mathematical programs with equilibrium constraints (MPECs), in particular when the so-called KKT reformulation is in question.
Zemkoho, Alain B., Dempe, Stephan
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Optimality Conditions in Nondifferentiable G-Invex Multiobjective Programming
Journal of Inequalities and Applications, 2010 We consider a class of nondifferentiable multiobjective programs with inequality and equality constraints in which each component of the objective function contains a term involving the support function of a compact convex set.
Kim HoJung, Seo YouYoung, Kim DoSang
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Axioms, 2023 In this paper, we study the optimality conditions for set optimization problems with set criterion. Firstly, we establish a few important properties of the Minkowski difference for sets.
Yuhe Zhang, Qilin Wang
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Optimality conditions for distributive justice [PDF]
International Transactions in Operational Research, 2010 AbstractThis paper uses optimization theory to address a fundamental question of ethics: how to divide resources justly among individuals, groups, or organizations. It formulates utilitarian and Rawlsian criteria for distributive justice as optimization problems.
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ON NECESSARY OPTIMALITY CONDITIONS FOR RAMSEY-TYPE PROBLEMS
Ural Mathematical Journal, 2019 We study an optimal control problem in infinite time, where the integrand does not depend explicitly on the state variable. A special case of such problem is the Ramsey optimal capital accumulation in centralized economy.
Anton O. Belyakov
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Necessary and sufficient condition on global optimality without convexity and second order differentiability [PDF]
, 2012 The main goal of this paper is to give a necessary and sufficient condition of global optimality for unconstrained optimization problems, when the objective function is not necessarily convex. We use Gâteaux differentiability of the objective function
Burai, Pál
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Optimality Conditions for Convex Stochastic Optimization Problems in Banach Spaces with Almost Sure State Constraints [PDF]
, 2020 We analyze a convex stochastic optimization problem where the state is assumed to belong to the Bochner space of essentially bounded random variables with images in a reflexive and separable Banach space. For this problem, we obtain optimality conditions
Geiersbach, Caroline +1 more
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