Sufficiency and duality in nonsmooth multiobjective optimization involving generalized \((F,\alpha,\rho,d)\)-type I functions

DOI10.1016/j.camwa.2006.08.006zbMath1190.90184OpenAlexW1994979134MaRDI QIDQ2426008

Divya Agarwal, T. R. Gulati

Publication date: 17 April 2008

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2006.08.006

zbMATH Keywords

efficiency

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Optimality conditions and duality in mathematical programming (90C46) Programming in abstract spaces (90C48) Existence theories for problems in abstract spaces (49J27)

Related Items (4)

On sufficiency and duality for nonsmooth multiobjective programming problems involving generalized \(V-r\)-invex functions ⋮ Some vector optimization problems in Banach spaces with generalized convexity ⋮ Sufficiency and duality for nonsmooth multiobjective programming problems involving generalized \((F,\alpha ,\rho ,\theta)\)-d-V-univex functions ⋮ Duality for a class of nonsmooth multiobjective programming problems using convexificators

Cites Work

• Optimality and duality in nondifferentiable multiobjective optimization involving \(d\)-type I and related functions
• Optimality criteria in nonlinear programming involving nonconvex functions
• Optimality criteria in mathematical programming involving generalized invexity
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• Optimality and duality in nonsmooth multiobjective optimization involving generalized type I functions
• Optimality and duality for the multiobjective fractional programming with the generalized \((F,\rho)\) convexity.
• Sufficiency and duality in differentiable multiobjective programming involving generalized type I functions
• Proper efficiency and the theory of vector maximization
• Necessary and sufficient conditions in constrained optimization
• Invex functions and constrained local minima
• On sufficiency of the Kuhn-Tucker conditions in nondifferentiable programming
• Generalized invexity and duality in multiobjective programming problems
• Optimality conditions and duality for a class of nonlinear fractional programming problems.
• Unnamed Item

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