Optimality and duality for complex multi-objective programming

DOI10.3934/naco.2021055zbMath1478.90144OpenAlexW3211903993WikidataQ114844316 ScholiaQ114844316MaRDI QIDQ2074632

Tamaki Tanaka, Tone-Yau Huang

Publication date: 10 February 2022

Published in: Numerical Algebra, Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/naco.2021055

zbMATH Keywords

generalized convexityefficient solutionsmulti-objective programmingduality problem

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Optimality conditions and duality in mathematical programming (90C46) Optimality conditions for minimax problems (49K35)

Cites Work

• Duality for nondifferentiable minimax programming in complex spaces
• Nondifferentiable minimax fractional programming in complex spaces with parametric duality
• Optimality conditions for a nondifferentiable minimax programming in complex spaces
• Duality for a class of nondifferentiable mathematical programming problems in complex space
• On nonlinear programming in complex spaces
• Extension to necessary optimality conditions in complex programming
• Optimality conditions for nondifferentiable minimax fractional programming with complex variables
• Linear programming in complex space
• Nonlinear programming in complex space: Sufficient conditions and duality
• Efficiency for a generalized form of vector optimization problems in complex space
• A class of nondifferentiable complex programming problems
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