Symmetric duality with invexity in variational problems

DOI10.1016/0022-247X(90)90083-RzbMath0714.49039MaRDI QIDQ750881

D. Kharzeev

Publication date: 1990

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

invexitySelf-dual problemsstatic symmetric dual programssymmetric dual variational problems

Mathematics Subject Classification ID

Nonlinear programming (90C30) Duality theory (optimization) (49N15) Optimality conditions for problems involving ordinary differential equations (49K15)

Related Items (22)

Symmetric duality for a class of nondifferentiable multi-objective fractional variational problems ⋮ Second-order Symmetric Duality and Variational Problems ⋮ Symmetric duality for fractional variational problems with cone constraints ⋮ Sufficient optimality criteria and duality for multiobjective variational control problems with \(V\)-invexity ⋮ Symmetric duality for multiobjective variational problems with invexity ⋮ Multiobjective Symmetric Duality in Higher-Order Fractional Variational Programming ⋮ A survey of recent[1985-1995advances in generalized convexity with applications to duality theory and optimality conditions] ⋮ Symmetric Duality with Invexity in Static and Continuous Fractional Programming ⋮ Symmetric duality for invex multiobjective fractional variational problems. ⋮ On multiobjective symmetric dual programs ⋮ Symmetric duality with pseudo-invexity in variational problems ⋮ Multiobjective symmetric duality with invexity ⋮ Generalized symmetric duality with invexity in variational problems ⋮ Symmetric duality for multiobjective fractional variational problems involving cones ⋮ Symmetric duality with pseudo-invexity in variational problems^*Research supported in part by KOSEF Research Grant 91-08-00-03 $ef: ⋮ Mixed type symmetric duality for multiobjective variational problems with cone constraints ⋮ Symmetric duality for multiobjective fractional variational problems with generalized invexity ⋮ Second-Order Symmetric Duality in Variational Control Problems Over Cone Constraints ⋮ New-invexity type conditions with applications to constrained dynamic games. ⋮ Second-order symmetric duality in multiobjective variational problems ⋮ Various types of nonsmooth invex functions ⋮ Generalized symmetric duality for multiobjective variational problems with invexity

Cites Work

• Duality for variational problems with invexity
• Duality and sufficiency in control problems with invexity
• On sufficiency of the Kuhn-Tucker conditions
• Symmetric dual nonlinear programs
• Symmetric duality for variational problems
• A Duality Theorem for Convex Programs
• On duality with generalized convexity
• A duality theorem for non-linear programming

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