Fuzzy Optimality Conditions for Fractional Multiobjective Bilevel Problems Under Fractional Constraints

DOI10.1080/01630563.2010.532274zbMath1229.90221OpenAlexW2005274823MaRDI QIDQ3083520

Nazih Abderrazzak Gadhi, M. Bazine, A. Bennani

Publication date: 22 March 2011

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2010.532274

zbMATH Keywords

bilevel optimizationapproximate extremal principlelocal weak efficient solution

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Multi-objective and goal programming (90C29) Nonlinear programming (90C30) Optimality conditions and duality in mathematical programming (90C46) Sensitivity, stability, parametric optimization (90C31) Nonsmooth analysis (49J52) Fractional programming (90C32) Fréchet and Gateaux differentiability in optimization (49J50)

Related Items (4)

Interactive approach to bi-level integer multi-objective fractional programming problem ⋮ A taxonomy and review of the multi-objective fractional programming (MOFP) problems ⋮ A New Method To Solve Bi-Level Quadratic Linear Fractional Programming Problems ⋮ Bilevel Optimization: Theory, Algorithms, Applications and a Bibliography

Cites Work

• Maximum principle in the problem of time optimal response with nonsmooth constraints
• Generalized differential calculus for nonsmooth and set-valued mappings
• Necessary conditions in multiobjective optimization with equilibrium constraints
• Necessary and sufficient optimality conditions for fractional multi-objective problems
• Nonsmooth sequential analysis in Asplund spaces
• Constraint Qualifications and KKT Conditions for Bilevel Programming Problems
• Optimality conditions and duality for a class of nonlinear fractional programming problems.
• On duality theorems for nonsmooth Lipschitz optimization problems

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