Sufficient optimality criteria and duality for multiobjective variational control problems with \(V\)-invexity

DOI10.1016/j.na.2006.02.006zbMath1146.90064OpenAlexW2001862121MaRDI QIDQ875261

Sudarsan Nanda, Chandal Nahak

Publication date: 13 April 2007

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.2006.02.006

zbMATH Keywords

dualityoptimalitycontrol problem\(V\)-invexity

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Optimality conditions and duality in mathematical programming (90C46) Control/observation systems involving computers (process control, etc.) (93C83) Duality theory (optimization) (49N15)

Related Items (8)

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 ⋮ Duality of variational problems with a new approach ⋮ Sufficiency and duality for multiobjective variational control problems with \(G\)-invexity ⋮ Sufficiency and mixed type duality for multiobjective variational control problems involving \(\alpha\)-V-univexity ⋮ Proper efficiency and duality for a new class of nonconvex multitime multiobjective variational problems ⋮ Control problems under \((p,r)\)-\(\rho\)-\((\eta,\theta)\)-invexity ⋮ A necessary and sufficient condition for duality in multiobjective variational problems

Cites Work

• Symmetric duality with invexity in variational problems
• Optimality conditions and duality for a class of continuous-time programming problems with nonlinear operator equality and inequality constraints
• Variational methods in problems of control and programming
• Duality for variational problems with invexity
• Duality and sufficiency in control problems with invexity
• On sufficiency of the Kuhn-Tucker conditions
• Duality for multiobjective variational problems
• On efficiency and duality for multiobjective programs
• On efficiency and duality for multiobjective variational control problems with \((F-\rho)\)-convexity
• On generalised convex mathematical programming
• Duality for Variational Problems with Pseudo-Invexity
• Duality for multiobjective variational problems with invexity

This page was built for publication: Sufficient optimality criteria and duality for multiobjective variational control problems with \(V\)-invexity