Minimization of vectors of curvilinear functionals on the second order jet bundle: sufficient efficiency conditions

DOI10.1007/s11590-011-0357-4zbMath1258.49028OpenAlexW1973893110MaRDI QIDQ1926614

Mihai Postolache, Ariana Pitea

Publication date: 28 December 2012

Published in: Optimization Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11590-011-0357-4

zbMATH Keywords

efficiencyLagrange 1-form densitymulti-objective variational problemquasi-invexity

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Optimality conditions for minimax problems (49K35)

Related Items (11)

On harmonically \((p, h, m)\)-preinvex functions ⋮ Unnamed Item ⋮ Minimization of vectors of curvilinear functionals on the second order jet bundle: sufficient efficiency conditions ⋮ Sufficiency and duality for nonsmooth multiobjective programming problems involving generalized (\(\Phi\), \(\rho\))-\(V\)-type I functions ⋮ Minimization of vectors of curvilinear functionals on second-order jet bundle: dual program theory ⋮ A study of some general problems of Dieudonné-Rashevski type ⋮ A modified constraint shifting homotopy method for solving general nonlinear multiobjective programming ⋮ Some inequalities for functions having Orlicz-convexity ⋮ Some quantum integral inequalities via preinvex functions ⋮ On bounds involving \(k\)-Appell's hypergeometric functions ⋮ Second order duality for variational problems involving generalized convexity

Cites Work

• On sufficiency of the Kuhn-Tucker conditions
• Necessary conditions for optimality of nondifferentiable convex multiobjective programming
• On efficiency and duality for multiobjective programs
• Sufficiency and duality in differentiable multiobjective programming involving generalized type I functions
• Minimization of vectors of curvilinear functionals on the second order jet bundle: sufficient efficiency conditions
• A survey of recent developments in multiobjective optimization
• Second-order necessary and sufficient conditions in multiobjective programming^∗
• Sufficient optimality criteria and duality for variational problems with generalised invexity
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Minimization of vectors of curvilinear functionals on the second order jet bundle: sufficient efficiency conditions