Second-order symmetric duality for multiple objectives nonlinear programming under generalizations of cone-preinvexity functions

DOI10.1007/s10915-023-02114-8zbMath1528.90257MaRDI QIDQ6159291

Mohamed Abd El-Hady Kassem

Publication date: 20 June 2023

Published in: Journal of Scientific Computing (Search for Journal in Brave)

zbMATH Keywords

nonlinear programmingduality theoremsconessecond-order symmetric dualitymultiple-objective programmingpreinvexity functions

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Nonlinear programming (90C30) Optimality conditions and duality in mathematical programming (90C46) Numerical methods based on nonlinear programming (49M37) Duality theory (optimization) (49N15)

Cites Work

• Symmetric and self duality in vector optimization problem
• Higher-order symmetric duality in vector optimization problem involving generalized cone-invex functions
• Symmetric duality for nonlinear programming problem involving \(\eta\)-bonvex functions
• Multiobjective symmetric duality with cone constraints
• Generalization of preinvex and B-vex functions
• Second-order symmetric and self duality in multiobjective programming
• Symmetric duality in multiobjective programming involving generalized cone-invex functions
• Second order symmetric duality in mathematical programming with \(F\)-convexity
• Second-order symmetric duality in vector optimization involving \((K,\eta)\)-pseudobonvexity
• Multiobjective nonlinear second order symmetric duality with \((K,F)\)-pseudoconvexity
• Converse duality in nonlinear programming with cone constraints
• Symmetric duality results for second-order nondifferentiable multiobjective programming problem
• Multiobjective second order symmetric duality with cone constraints
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