Sufficiency and duality for multiobjective control problems under generalized \((B, \rho )\)-type I functions

DOI10.1007/s10898-009-9412-4zbMath1183.49019OpenAlexW1995049244MaRDI QIDQ2655344

Khadija Khazafi, Norma G. Rueda, Per Enflo

Publication date: 25 January 2010

Published in: Journal of Global Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10898-009-9412-4

zbMATH Keywords

sufficient conditionsefficient solutionmultiobjective control problemsmixed type dualityproper efficient solutiongeneralized \((B, \rho )\)-type I functions

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Duality theory (optimization) (49N15) Optimality conditions for problems involving ordinary differential equations (49K15)

Related Items (12)

Sufficient optimality criteria and duality for multiobjective variational control problems with B-(p,r)-invex functions ⋮ Duality for a fractional variational formulation using $\eta$-approximated method ⋮ Interval‐valued variational programming problem with Caputo–Fabrizio fractional derivative ⋮ Modi ed objective function approach for multitime variational problems ⋮ The modified objective function method for univex multiobjective variational problems ⋮ Sufficiency and mixed type duality for multiobjective variational control problems involving \(\alpha\)-V-univexity ⋮ On the multiobjective control problem ⋮ Control problems under \((p,r)\)-\(\rho\)-\((\eta,\theta)\)-invexity ⋮ On efficiency and mixed duality for a new class of nonconvex multiobjective variational control problems ⋮ Exponential type duality for η-approximated variational problems ⋮ Sufficient optimality criteria and duality for multiobjective variational control problems with \(G\)-type I objective and constraint functions ⋮ Second order duality for variational problems involving generalized convexity

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