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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 ε-Vector Equilibrium Problems
Abstract and Applied Analysis, 2014 By virtue of the separation theorem of convex sets, a necessary condition and a sufficient condition for ε-vector equilibrium problem with constraints are obtained. Then, by using the Gerstewitz nonconvex separation functional, a necessary and sufficient
Lu Wei-zhong, Huang Shou-jun, Yang Jun
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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 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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Optimality and duality for a class of nondifferentiable minimax fractional programming problems [PDF]
Yugoslav Journal of Operations Research, 2009 Necessary and sufficient optimality conditions are established for a class of nondifferentiable minimax fractional programming problems with square root terms. Subsequently, we apply the optimality conditions to formulate a parametric dual problem and we
Bătătorescu Antoan +3 more
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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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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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Pareto Optimality Conditions and Duality for Vector Quadratic Fractional Optimization Problems
Journal of Applied Mathematics, 2014 One of the most important optimality conditions to aid in solving a vector optimization problem is the first-order necessary optimality condition that generalizes the Karush-Kuhn-Tucker condition.
W. A. Oliveira +3 more
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Optimality Conditions for Nonsmooth Generalized Semi-Infinite Programs
Abstract and Applied Analysis, 2013 We consider a class of nonsmooth generalized semi-infinite programming problems. We apply results from parametric optimization to the lower level problems of generalized semi-infinite programming problems to get estimates for the value functions of the ...
Zhangyou Chen, Zhe Chen
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Optimality conditions applied to free-time multi-burn optimal orbital transfers
, 2016 While the Pontryagin Maximum Principle can be used to calculate candidate extremals for optimal orbital transfer problems, these candidates cannot be guaranteed to be at least locally optimal unless sufficient optimality conditions are satisfied. In this
Chen, Zheng
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