Optimality Conditions and Duality for Multiobjective Control Problems

DOI10.1515/JAA.2005.225zbMath1123.49017MaRDI QIDQ5291644

I. Husain, Aquil Ahmed, T. R. Gulati

Publication date: 19 May 2006

Published in: Journal of Applied Analysis (Search for Journal in Brave)

zbMATH Keywords

efficiencydualityPareto optimalityfree boundary conditionsmultiobjective control problemsproper efficiencystatic problems

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Optimality conditions and duality in mathematical programming (90C46) Optimality conditions for problems involving ordinary differential equations (49K15)

Related Items

Sufficiency and duality for multiobjective variational control problems with generalized \((F,\alpha ,\rho ,\theta )\)-V-convexity, Sufficient optimality criteria and duality for multiobjective variational control problems with B-(p,r)-invex functions, Sufficiency and duality for multiobjective control problems under generalized \((B, \rho )\)-type I functions, Duality for set-valued multiobjective optimization problems. II: Optimal control, 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

Cites Work

• A class of nondifferentiable control problems
• Duality and sufficiency in control problems with invexity
• Necessary conditions for optimality of nondifferentiable convex multiobjective programming
• Sufficiency and duality in multiobjective programming involving generalized \(F\)-convex functions
• Proper efficiency and the theory of vector maximization
• Duality for Control Problems