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Approximation of optimal feedback control: a dynamic programming approach

Guo, Bao-Zhu; Wu, Tao-Tao - In: Journal of Global Optimization 46 (2010) 3, pp. 395-422

Persistent link: https://www.econbiz.de/10008636330

Sufficient optimality criteria and duality for multiobjective variational control problems with <InlineEquation ID="IEq1"> <EquationSource Format="TEX">$$G$$</EquationSource> <Equa...

Antczak, Tadeusz - In: Journal of Global Optimization 61 (2015) 4, pp. 695-720

, its dual multiobjective variational control problem is given and several duality results are established under …

Persistent link: https://www.econbiz.de/10011240894

Primal and dual approximation algorithms for convex vector optimization problems

Löhne, Andreas; Rudloff, Birgit; Ulus, Firdevs - In: Journal of Global Optimization 60 (2014) 4, pp. 713-736

Two approximation algorithms for solving convex vector optimization problems (CVOPs) are provided. Both algorithms solve the CVOP and its geometric dual problem simultaneously. The first algorithm is an extension of Benson’s outer approximation algorithm, and the second one is a dual variant...

Persistent link: https://www.econbiz.de/10011151248

An Approximation Approach to Non-strictly Convex Quadratic Semi-infinite Programming

Ito, S.; Liu, Y.; Teo, K. - In: Journal of Global Optimization 30 (2004) 2, pp. 195-206

Persistent link: https://www.econbiz.de/10008925252

Duality and optimality conditions for generalized equilibrium problems involving DC functions

Dinh, N.; Strodiot, J.; Nguyen, V. - In: Journal of Global Optimization 48 (2010) 2, pp. 183-208

Persistent link: https://www.econbiz.de/10008673929

Existence of augmented Lagrange multipliers for cone constrained optimization problems

Zhou, Yu; Zhou, Jin; Yang, Xiao - In: Journal of Global Optimization 58 (2014) 2, pp. 243-260

multipliers, and zero duality gap property between the cone constrained optimization problem and its augmented Lagrangian dual …

Persistent link: https://www.econbiz.de/10010845784

Multiobjective DC programs with infinite convex constraints

Qu, Shaojian; Goh, Mark; Wu, Soon-Yi; Souza, Robert - In: Journal of Global Optimization 59 (2014) 1, pp. 41-58

converse duality theorems are derived for these two problems respectively. We also extend above results to multiobjective …

Persistent link: https://www.econbiz.de/10010845827

Duality theorems for a new class of multitime multiobjective variational problems

Pitea, Ariana; Postolache, Mihai - In: Journal of Global Optimization 54 (2012) 1, pp. 47-58

)-quasiinvexity, duality theorems are stated. We give weak duality theorems, proving that the value of the objective function of the primal … primal and dual programs, in direct and converse duality theorems. While the results in §1 and §2 are introductory in nature …

Persistent link: https://www.econbiz.de/10010994003

Duality and solutions for quadratic programming over single non-homogeneous quadratic constraint

Feng, Joe-Mei; Lin, Gang-Xuan; Sheu, Reuy-Lin; Xia, Yong - In: Journal of Global Optimization 54 (2012) 2, pp. 275-293

solved through a dual approach with no duality gap. This is unusual for general nonconvex programming but we can explain by …

Persistent link: https://www.econbiz.de/10010994010

A dual variant of Benson’s “outer approximation algorithm” for multiple objective linear programming

Ehrgott, Matthias; Löhne, Andreas; Shao, Lizhen - In: Journal of Global Optimization 52 (2012) 4, pp. 757-778

Persistent link: https://www.econbiz.de/10010994025