Optimality of differentiable, vector-valued n-set functions

DOI10.1016/0022-247X(90)90299-UzbMath0714.49008MaRDI QIDQ750864

Lai-Jiu Lin

Publication date: 1990

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

vector-valued, n-set functions optimization problem

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Existence theories for problems in abstract spaces (49J27) Optimality conditions for problems in abstract spaces (49K27)

Related Items (17)

Optimality conditions for multiple objective fractional subset programming with \(({\mathcal F},\alpha,\rho,\theta)\)-V-type-I and related non-convex functions ⋮ Duality for multiple objective fractional subset programming with generalized \((\Gamma\mkern-15mu-,\rho,\sigma,\theta)\)-V-Type-I functions ⋮ Sufficiency in multiobjective subset programming involving generalized type-I functions ⋮ A survey of recent[1985-1995advances in generalized convexity with applications to duality theory and optimality conditions] ⋮ Duality theorems of vector-valued \(n\)-set functions ⋮ On the optimality conditions of vector-valued \(n\)-set functions ⋮ On the optimality of differentiable nonconvex \(n\)-set functions ⋮ Optimality conditions for multiple objective fractional subset programming with \((\rho,\sigma,\theta )\)-type-I and related non-convex functions ⋮ Optimality and duality for a multi-objective programming problem involving generalized \(d\)-type-I and related \(n\)-set functions ⋮ Approximate Saddle Point and Duality for Multiobjective n-Set Optimization ⋮ Optimality and duality for multiobjective fractional programming involving \(n\)-set functions ⋮ Optimality for nonlinear programs containingn-set functions ⋮ Unnamed Item ⋮ Lagrange duality in multiobjective fractional programming problems with \(n\)-set functions ⋮ Duality for multiobjective programming involving n-set functions ⋮ Duality for multiobjective fractional programming involvingn-set functions sup^* ⋮ Efficiency conditions and duality models for multiobjective fractional subset programming problems with generalized \(({\mathcal F},\alpha,\rho,\theta)\)-\(V\)-convex functions

Cites Work

• Unnamed Item
• Optimization theory for n-set functions
• Optimal constrained selection of a measurable subset
• Duality in mathematical programming of set functions: On Fenchel duality theorem
• On multiple objective programming problems with set functions
• Epigraphs of convex set functions
• Moreau-Rockafellar type theorem for convex set functions
• Optimality for set functions with values in ordered vector spaces
• Second order optimality conditions for mathematical prograramming with set functions
• The Multiobjective Optimization Problem of Set Function
• The Fenchel-Moreau Theorem for Set Functions
• Saddle point and duality in the optimization theory of convex set functions

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