A finite dimensional extension of Lyusternik theorem with applications to multiobjective optimization

DOI10.1016/S0022-247X(02)00064-1zbMath1008.90051OpenAlexW1969779877MaRDI QIDQ1614693

Bienvenido Jiménez, Vicente Novo Sanjurjo

Publication date: 8 September 2002

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

Full work available at URL: https://doi.org/10.1016/s0022-247x(02)00064-1

zbMATH Keywords

Lagrange multipliersnecessary optimality conditionsnonsmooth analysismultiobjective optimizationtangent coneClarke derivative

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Optimality conditions and duality in mathematical programming (90C46) Nonsmooth analysis (49J52)

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Cites Work

• Optimality conditions in multiobjective differentiable programming
• Weak Pareto-optimal necessary conditions in a nondifferentiable multiobjective program on a Banach space
• Foundations of optimization
• Refinements of necessary optimality conditions in nondifferentiable programming. I
• Constraint qualifications and Lagrange multipliers in nondifferentiable programming problems
• Qualification conditions for multivalued functions in Banach spaces with applications to nonsmooth vector optimization problems
• Lagrange Multipliers and Optimality
• Necessary and sufficient conditions for the efficient solutions of nondifferentiable multiobjective problems
• Nondifferentiable optimization by smooth approximations
• Nonsmooth multiobjective programming
• On optimality conditions in nondifferentiable programming
• A New Approach to Lagrange Multipliers
• Lagrange Multipliers for Nonconvex Generalized Gradients with Equality, Inequality, and Set Constraints
• Small convex-valued subdifferentials in mathematical programming
• Classical Optimality Conditions under Weaker Assumptions
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