Multiobjective optimization problems with modified objective functions and cone constraints and applications
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Publication:620528
DOI10.1007/s10898-010-9539-3zbMath1230.90166OpenAlexW2028435933MaRDI QIDQ620528
Yeol Je Cho, Jong Kyu Kim, Jun Li, Jia-wei Chen
Publication date: 19 January 2011
Published in: Journal of Global Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10898-010-9539-3
weakly efficient solutionLagrange functionmultiobjective optimization problem\(Q\)-(pseudo)invex\(Q\)-convexlikeKKT conditionsaddlepointweak (strong, converse) duality
Multi-objective and goal programming (90C29) Variational and other types of inequalities involving nonlinear operators (general) (47J20) Optimality conditions and duality in mathematical programming (90C46)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Optimality and duality in nondifferentiable and multiobjective programming under generalized \(d\)-invexity
- Modified ratio objective approach in mathematical programming
- An \(\eta\)-approximation approach to duality in mathematical programming problems involving \(r\)-invex functions
- Equivalence and existence of weak Pareto optima for multiobjective optimization problems with cone constraints
- Multiobjective duality with invexity
- On sufficiency of the Kuhn-Tucker conditions
- On ratio invexity in mathematical programming
- A new approach to multiobjective programming with a modified objective function
- Vector variational inequalities and vector equilibria. Mathematical theories
- An \(\eta\)-approximation method in nonlinear vector optimization
- On duality for weakly minimized vector valued optimization problems
- A class of nonconvex functions and mathematical programming
- An Existence Theorem in Vector Optimization
- An η-Approximation Approach for Nonlinear Mathematical Programming Problems Involving Invex Functions
- Generalized invexity and duality in multiobjective programming problems
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