Second-order multiobjective programming problems and symmetric duality relations with \(G_{f}\)-bonvexity

DOI10.1007/s12597-016-0280-7zbMath1375.90272OpenAlexW2507239356MaRDI QIDQ1684344

Ramu Dubey, Indira P. Debnath, Shiv K. Gupta

Publication date: 8 December 2017

Published in: Opsearch (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12597-016-0280-7

zbMATH Keywords

nonlinear programmingsymmetric duality\(G_f\)-bonvexity\(G\)-Wolfe and \(G\)-Mond-Weir type model

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) Fractional programming (90C32)

Cites Work

• Duality in nondifferentiable minimax fractional programming with \(B-(p, r)\)-invexity
• Symmetric duality with \((p,r)-\rho -(\eta,\theta)\)-invexity
• New optimality conditions and duality results of \(G\) type in differentiable mathematical programming
• On \(G\)-invex multiobjective programming. I: Optimality
• On sufficiency of the Kuhn-Tucker conditions
• Duality for multiobjective fractional programming involving generalized \(\eta\)-bonvex functions
• Second- and higher-order duality in nonlinear programming
• Efficiency and generalized convex duality for multiobjective programs
• Optimality and duality with generalized convexity
• Multiobjective programming with new invexities
• Optimality conditions of the \(G\)-type in locally Lipschitz multiobjective programming
• Second order symmetric duality with generalized convexity.
• Multiobjective fractional programming problems involving \((p,r)\)-\(\rho\)-\((\eta,\theta)\)-invex function
• Symmetric dual nonlinear programs
• Wolfe type second-order symmetric duality in nondifferentiable programming
• Optimality conditions and duality in multiobjective programming with invexity
• What is invexity?
• Necessary and sufficient conditions in constrained optimization