Some vector optimization problems in Banach spaces with generalized convexity
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Publication:2477361
DOI10.1016/j.camwa.2007.05.002zbMath1137.90663OpenAlexW2044328614MaRDI QIDQ2477361
Publication date: 13 March 2008
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2007.05.002
Multi-objective and goal programming (90C29) Optimality conditions and duality in mathematical programming (90C46) Programming in abstract spaces (90C48)
Related Items (4)
On a nonsmooth vector optimization problem with generalized cone invexity ⋮ Duality of \((h, \varphi)\)-multiobjective programming involving generalized invex functions ⋮ Henig globally efficiency for set-valued optimization and vector variational inequality ⋮ Proper efficiency conditions and duality results for nonsmooth vector optimization in Banach spaces under \((\varPhi, \rho)\)-invexity
Cites Work
- Unnamed Item
- Optimality and duality in nondifferentiable multiobjective optimization involving \(d\)-type I and related functions
- Some nondifferentiable multiobjective programming problems
- Optimality criteria in mathematical programming involving generalized invexity
- Weak Pareto-optimal necessary conditions in a nondifferentiable multiobjective program on a Banach space
- Invex functions and generalized convexity in multiobjective programming
- Optimality criteria and duality in multiple-objective optimization involving generalized invexity
- Multiobjective fractional programming with generalized convexity
- Preinvex functions and weak efficient solutions for some vectorial optimization problem in Banach spaces
- Sufficiency and duality in differentiable multiobjective programming involving generalized type I functions
- Optimality conditions for Pareto nonsmooth nonconvex programming in Banach spaces
- Sufficiency and duality in nonsmooth multiobjective optimization involving generalized \((F,\alpha,\rho,d)\)-type I functions
- Sufficiency and duality in nondifferentiable multiobjective programming involving generalized type I functions
- Necessary and sufficient conditions in constrained optimization
- Lagrange multiplers for pareto nonsmooth programming problems in banach spaces
- Asymptotic conditions for weak and proper optimality in infinite dimensional convex vector optimization
- Generalized convexity in multiobjective programming
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