Arcwise connected cone-convex functions and mathematical programming

DOI10.1023/A:1025451422581zbMath1039.90064OpenAlexW193804062MaRDI QIDQ1422861

Jun-Yi Fu, Yuan-Heng Wang

Publication date: 12 February 2004

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1025451422581

zbMATH Keywords

optimality conditionssaddle pointsvector-valued Lagrangianarcwise connected cone-convex functions

Mathematics Subject Classification ID

Convex programming (90C25) Multi-objective and goal programming (90C29) Optimality conditions and duality in mathematical programming (90C46)

Related Items (12)

Convexity with respect to a differential equation ⋮ On vector variational-like inequalities involving right upper-Dini-derivative functions ⋮ A Derivative for Semipreinvex Functions and Its Applications in Semipreinvex Programming ⋮ Using \(\rho \)-cone arcwise connectedness on parametric set-valued optimization problems ⋮ Optimality conditions and duality on approximate solutions in vector optimization with arcwise connectivity ⋮ On constrained set-valued optimization problems with \(\rho\)-cone arcwise connectedness ⋮ CONE CONVEX AND RELATED FUNCTIONS IN OPTIMIZATION OVER TOPOLOGICAL VECTOR SPACES ⋮ Second-order optimality conditions for cone-subarcwise connected set-valued optimization problems ⋮ Generalized nonsmooth cone convexity in terms of convexifactors in vector optimization ⋮ OPTIMALITY OF GLOBAL PROPER EFFICIENCY FOR CONE-ARCWISE CONNECTED SET-VALUED OPTIMIZATION USING CONTINGENT EPIDERIVATIVE ⋮ Saddle point criteria and Wolfe duality in nonsmooth (Φ, ρ)-invex vector optimization problems with inequality and equality constraints ⋮ Arcwise connected cone-quasiconvex set-valued mappings and Pareto reducibility in vector optimization

Cites Work

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• Elementary properties of arcwise connected sets and functions
• Generalized arcwise-connected functions and characterizations of local- global minimum properties
• Perfect duality for convexlike programs
• Optimality conditions and duality involving arcwise connected and generalized arcwise connected functions
• A note on arewise connected sets and functions
• Convexlike alternative theorems and mathematical programming
• A class of nonconvex functions and mathematical programming
• Weak minimization and duality

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