Symmetric duality for multiobjective variational problems with invexity

DOI10.1006/jmaa.1997.5730zbMath0899.90141OpenAlexW2037104745MaRDI QIDQ1380308

Won Jung Lee, Do Sang Kim

Publication date: 17 November 1998

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

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5730

zbMATH Keywords

invexityduality theoremsmultiobjective nonlinear symmetric dual continuous programming

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29)

Related Items (12)

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 ⋮ Minimax mixed integer symmetric duality for multiobjective variational problems ⋮ Symmetric duality for invex multiobjective fractional variational problems. ⋮ Mixed type symmetric duality for multiobjective variational problems with cone constraints ⋮ Optimality and duality for multiple-objective optimization under generalized type I univexity ⋮ Symmetric duality for nondifferentiable multiobjective fractional variational problems involving cones ⋮ Symmetric duality for multiobjective fractional variational problems with generalized invexity ⋮ Second-order symmetric duality in multiobjective variational problems ⋮ Generalized symmetric duality for multiobjective variational problems with invexity ⋮ Optimality and duality for nondifferentiable multiobjective variational problems.

Cites Work

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