Results 21 to 30 of about 12,294,384 (368)
Global Optimality Conditions for Nonlinear Programming Problems with Linear Equality Constraints
Journal of Applied Mathematics, 2014 Some necessary global optimality conditions and sufficient global optimality conditions for nonconvex minimization problems with a quadratic inequality constraint and a linear equality constraint are derived.
Guoquan Li, Yan Wang
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Optimality conditions for interval-valued univex programming
Journal of Inequalities and Applications, 2019 We introduce concepts of interval-valued univex mappings, consider optimization conditions for interval-valued univex functions for the constrained interval-valued minimization problem, and show examples for the illustration purposes.
Lifeng Li, Jianke Zhang, Chang Zhou
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Optimality Conditions for the Principle of Trajectory Division
Engineering Proceedings, 2023 This paper considers the problem of controlling a mobile robot in the presence of circular obstacles. To solve this problem, it is proposed to use the previously suggested principle of dividing permissible trajectories into a sequence of rectilinear ...
Valentin Bereznev
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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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Sufficient optimality conditions for a class of epidemic problems with control on the boundary
Mathematical Biosciences and Engineering, 2016 In earlier paper of V. Capasso et al it is considered a simply model of controlling an epidemic, which is described by three functionals and systems of two PDE equations having the feedback operator on the boundary.
Miniak-Górecka Alicja +1 more
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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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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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Necessary Optimality Conditions for Optimal Control Problems with Equilibrium Constraints [PDF]
SIAM Journal of Control and Optimization, 2016 This paper introduces and studies the optimal control problem with equilibrium constraints (OCPEC). The OCPEC is an optimal control problem with a mixed state and control equilibrium constraint formulated as a complementarity constraint, and it can be ...
Lei Guo, Jane J. Ye
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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 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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