Characterization of vector strict global minimizers of order 2 in differentiable vector optimization problems under a new approximation method
DOI10.1016/J.CAM.2011.04.029zbMath1243.90175OpenAlexW2061957019MaRDI QIDQ633953
Publication date: 2 August 2011
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2011.04.029
multiobjective programming\(F\)-approximated vector optimization problemdifferentiable \((F,\rho)\)-convex function of order 2vector strict global minimizer of order 2
Nonconvex programming, global optimization (90C26) Multi-objective and goal programming (90C29) Nonlinear programming (90C30)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Invexity and optimization
- Theory of multiobjective optimization
- Optimality conditions in multiobjective differentiable programming
- On efficiency and duality for multiobjective programs
- Maximal vectors and multi-objective optimization
- Strong uniqueness: A far-reaching criterion for the convergence analysis of iterative procedures
- Characterizations of strict local minima and necessary conditions for weak sharp minima
- A new approach to multiobjective programming with a modified objective function
- Mixed type duality in multiobjective programming problems
- An \(\eta\)-approximation method in nonlinear vector optimization
- On duality for weakly minimized vector valued optimization problems
- Further Generalizations of Convexity in Mathematical Programming
- Necessary and Sufficient Conditions for a Pareto Optimum in Convex Programming
- Characterizations of strict local minima for some nonlinear programming problems
- Sufficient conditions for the stability of local minimum points in nonsmooth optimization
- Generalized convexity in multiobjective programming
- Sufficiency and duality in multiobjective programming involving generalized \((F,\rho)\)-convexity
This page was built for publication: Characterization of vector strict global minimizers of order 2 in differentiable vector optimization problems under a new approximation method