Second-order optimality conditions using approximations for nonsmooth vector optimization problems under inclusion constraints
DOI10.1016/j.na.2011.03.031zbMath1242.90213OpenAlexW2063253683MaRDI QIDQ548609
Phan Quoc Khanh, Nguyen Dinh Tuan
Publication date: 29 June 2011
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2011.03.031
second-order optimality conditionsnonsmooth vector optimizationasymptotic p-compactnessfirst and second-order approximationsinclusion constraints
Multi-objective and goal programming (90C29) Optimality conditions and duality in mathematical programming (90C46) Nonsmooth analysis (49J52) Programming in abstract spaces (90C48)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Second-order optimality conditions for \(C^1\) multiobjective programming problems
- Generalized Hessian matrix and second-order optimality conditions for problems with \(C^{1,1}\) data
- First and second order optimality conditions using approximations for nonsmooth vector optimization in Banach spaces
- Variational sets of multivalued mappings and a unified study of optimality conditions
- Second order optimality conditions for bilevel set optimization problems
- First and second-order approximations as derivatives of mappings in optimality conditions for nonsmooth vector optimization
- On the regularity condition for the extremal problem under locally Lipschitz inclusion constraints
- Second order optimality conditions for the extremal problem under inclusion constraints
- Optimality conditions for \(C^{1,1}\) constrained multiobjective problems
- Second-order optimality conditions for the extremal problem under inclusion constraints
- On the regularity condition for vector programming problems
- Optimality conditions in differentiable vector optimization via second-order tangent sets
- Nonsmooth vector functions and continuous optimization
- Approximate Jacobian Matrices for Nonsmooth Continuous Maps and C1-Optimization
- Approximate Hessian matrices and second-order optimality conditions for nonlinear programming problems with C1-data
- Second order approximations and dual necessary optimality conditions
- Approximations and Metric Regularity in Mathematical Programming in Banach Space
This page was built for publication: Second-order optimality conditions using approximations for nonsmooth vector optimization problems under inclusion constraints