Higher-order duality results for a new class of nonconvex nonsmooth multiobjective programming problems

DOI10.2298/FIL1906619AzbMath1499.90191OpenAlexW3004238769MaRDI QIDQ5080787

Hachem Slimani, Tadeusz Antczak

Publication date: 31 May 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1906619a

zbMATH Keywords

nonsmooth multiobjective programminghigher-order \((\Phi, \rho)\)-type I functionshigher-order Mangasarian dualityhigher-order mixed duality

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Multi-objective and goal programming (90C29) Nonlinear programming (90C30) Optimality conditions and duality in mathematical programming (90C46)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Higher order duality in multiobjective fractional programming with square root term under generalized higher order \((F, \alpha, \beta, \rho, \sigma, d)\)-V-type I univex functions
• Second order duality for multiobjective programming with cone constraints
• Optimality and duality in nondifferentiable and multiobjective programming under generalized \(d\)-invexity
• Generalized convexity and vector optimization.
• Invexity and optimization
• Optimality and duality for a nonsmooth multiobjective optimization involving generalized type I functions
• Multiobjective duality with invexity
• On sufficiency of the Kuhn-Tucker conditions
• Second- and higher-order duality in nonlinear programming
• Optimality criteria and duality in multiple-objective optimization involving generalized invexity
• Second order invexity and duality in mathematical programming
• Duality for some nondifferentiable static multiobjective programming problems
• A class of nondifferentiable mathematical programming problems
• Second-order duality for nonlinear programming
• Optimality and duality for multiple-objective optimization under generalized type I univexity
• Duality for a class of nondifferentiable multiobjective programming problems
• Higher-order generalized invexity and duality in nondifferentiable mathematical programming
• Sufficiency and duality in differentiable multiobjective programming involving generalized type I functions
• Unified higher order duality in nondifferentiable multiobjective programming involving cones
• Higher-order duality for multiobjective programming problems involving \({(F, \alpha, \rho, d)}\)-V-type I functions
• Higher-order duality for multiobjective programming problem involving \((\Phi, \rho)\)-invex functions
• Higher-order duality for a class of nondifferentiable multiobjective programming problems involving generalized type I and related functions
• Higher-order Mond-Weir converse duality in multiobjective programming involving cones
• Proper efficiency and the theory of vector maximization
• Generalized concavity and duality with a square root term
• Necessary and sufficient conditions in constrained optimization
• Duality for a Class of Nondifferentiable Multiple Objective Programming Problems
• Non-Differentiable Multiobjective Fractional Programming with Hanson-Mond Glasses of Functions
• Higher Order Convexity and Duality in Multiobjective Programming Problems
• Sufficient optimality conditions and duality for nonsmooth multiobjective optimization problems via higher order strong convexity
• Higher-Order Duality in Nondifferentiable Multiobjective Programming
• Generalized invexity and duality in multiobjective programming problems
• Multiobjective programming under generalized type I invexity