Optimality conditions for Pareto nonsmooth nonconvex programming in Banach spaces

DOI10.1023/A:1021769232224zbMath0945.90080OpenAlexW1531652711MaRDI QIDQ1969460

Adilson J. V. Brandão, Geraldo Nunes Silva, Marko A. Rojas-Medar

Publication date: 16 March 2000

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1021769232224

zbMATH Keywords

vector optimizationoptimality conditionsinvexitynonsmooth duality

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Optimality conditions and duality in mathematical programming (90C46) Programming in abstract spaces (90C48)

Related Items (17)

Duality in Vector Optimization Under Type 1 α-Invexity in Banach Spaces ⋮ Optimality conditions in quasidifferentiable vector optimization ⋮ Multiple-objective programs in Banach spaces: sufficiency for (proper) optimality ⋮ New optimality conditions for nonsmooth control problems ⋮ Optimality Conditions for Multiobjective Optimization Problems via Image Space Analysis ⋮ Existence of weakly efficient solutions in nonsmooth vector optimization ⋮ The gap function for optimization problems in Banach spaces ⋮ Existence of weakly efficient solutions in vector optimization ⋮ Some vector optimization problems in Banach spaces with generalized convexity ⋮ Multi-objective infinite programming ⋮ Optimality and duality for multiple-objective optimization under generalized type I univexity ⋮ Preinvex functions and weak efficient solutions for some vectorial optimization problem in Banach spaces ⋮ Multiobjective programming under generalized type I invexity ⋮ Optimality and duality in nonsmooth conic vector optimization ⋮ Optimality conditions for vector equilibrium problems with constraint in Banach spaces ⋮ Proper efficiency conditions and duality results for nonsmooth vector optimization in Banach spaces under \((\varPhi, \rho)\)-invexity ⋮ Necessary and sufficient conditions for weak efficiency in non-smooth vectorial optimization problems

Cites Work

• Weak Pareto-optimal necessary conditions in a nondifferentiable multiobjective program on a Banach space
• Strict lower semicontinuity of the level sets and invexity of a locally Lipschitz function
• Multiobjective programming with semilocally convex functions
• Optimization and nonsmooth analysis
• Nonsmooth multiobjective programming
• Optimality conditions for multiobjecttve and nonsmooth minimisation in abstract spaces
• Lagrange multiplers for pareto nonsmooth programming problems in banach spaces
• Asymptotic conditions for weak and proper optimality in infinite dimensional convex vector optimization
• Fritz John's type conditions and associated duality forms in convex non differentiable vector-optimization
• On generalised convex multi-objective nonsmooth programming

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