Generalized symmetric duality for multiobjective variational problems with invexity

DOI10.1006/jmaa.1999.6344zbMath0941.49019OpenAlexW1967851008MaRDI QIDQ1295892

Do Sang Kim, Won Jung Lee

Publication date: 12 January 2000

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

Full work available at URL: https://doi.org/10.1006/jmaa.1999.6344

zbMATH Keywords

optimizationdualityinvexitysymmetric multiobjective dual variational problems

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Duality theory (optimization) (49N15) Optimality conditions for problems in abstract spaces (49K27)

Related Items (7)

Symmetric duality for a class of nondifferentiable multi-objective fractional variational problems ⋮ Symmetric dual nonlinear programming and matrix game equivalence ⋮ Second-order Symmetric Duality and Variational Problems ⋮ Symmetric duality for invex multiobjective fractional variational problems. ⋮ Symmetric duality with \((p,r)-\rho -(\eta,\theta)\)-invexity ⋮ Second-order symmetric duality in multiobjective variational problems ⋮ Second order symmetric duality in fractional variational problems over cone constraints

Cites Work

• Symmetric duality with invexity in variational problems
• The essence of invexity
• On sufficiency of the Kuhn-Tucker conditions
• Sufficient optimality criteria and duality for multiobjective variational problems with \(V\)-invexity
• Symmetric duality for multiobjective variational problems
• Symmetric duality for multiobjective variational problems with invexity
• Symmetric dual nonlinear programs
• Symmetric duality for variational problems
• A Duality Theorem for Convex Programs
• What is invexity?
• Symmetric duality with pseudo-invexity in variational problems^*Research supported in part by KOSEF Research Grant 91-08-00-03 $ef:
• On multiobjective symmetric dual programs
• Generalized symmetric duality with invexity in variational problems
• Some remarks on symmetric dual programs
• Sufficient optimality criteria and duality for variational problems with generalised invexity
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