Duality in Vector Optimization Under Type 1 α-Invexity in Banach Spaces

DOI10.1080/01630560802418409zbMath1153.49034OpenAlexW2020766678MaRDI QIDQ5302572

J. S. Rautela, Rajendra Pant, Shashi Kant Mishra

Publication date: 7 January 2009

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

Full work available at URL: https://doi.org/10.1080/01630560802418409

zbMATH Keywords

vector optimizationdualityoptimalitynonsmooth programmingtype I \(\alpha\)-invexity

Mathematics Subject Classification ID

Optimality conditions and duality in mathematical programming (90C46) Control/observation systems in abstract spaces (93C25) Duality theory (optimization) (49N15) Optimality conditions for problems in abstract spaces (49K27)

Related Items (2)

Proper efficiency conditions and duality results for nonsmooth vector optimization in Banach spaces under \((\varPhi, \rho)\)-invexity ⋮ Fritz John type optimality and duality in nonlinear programming under weak pseudo-invexity

Cites Work

• Duality in vector optimization in Banach spaces with generalized convexity
• Optimality criteria in mathematical programming involving generalized invexity
• Weak Pareto-optimal necessary conditions in a nondifferentiable multiobjective program on a Banach space
• Optimality criteria and duality in multiple-objective optimization involving generalized invexity
• Strict lower semicontinuity of the level sets and invexity of a locally Lipschitz function
• Optimality and duality for generalized fractional programming involving nonsmooth pseudoindex functions
• Optimality conditions for Pareto nonsmooth nonconvex programming in Banach spaces
• Generalized \(\alpha\)-invexity and nondifferentiable minimax fractional programming
• On vector variational-like inequality problems
• On sufficiency and duality for generalised quasicnvex nonsmooth programs
• Nonsmooth invexity
• Optimization and nonsmooth analysis
• Necessary and sufficient conditions in constrained optimization
• Nonsmooth multiobjective programming
• Nonsmooth Invexity in Multiobjective Programming
• Optimality conditions for multiobjecttve and nonsmooth minimisation in abstract spaces
• Lagrange multiplers for pareto nonsmooth programming problems in banach spaces
• Various types of nonsmooth invex functions
• Generalized (F, ρ)-convexity and duality for non smooth multi-objective programs

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