Generalized connected functions with respect to cones

DOI10.1023/A:1004659732181zbMath0976.90097OpenAlexW195549265MaRDI QIDQ1594881

Surjeet Kaur Suneja, Sonia Davar, Sunila Aggarwal

Publication date: 29 January 2001

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

Full work available at URL: https://doi.org/10.1023/a:1004659732181

zbMATH Keywords

dualityarcwise connected functionsconesvector-valued minimizationweak minima

Mathematics Subject Classification ID

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

Related Items (4)

Convexity with respect to a differential equation ⋮ Optimality conditions and duality on approximate solutions in vector optimization with arcwise connectivity ⋮ Generalized nonsmooth cone convexity in terms of convexifactors in vector optimization ⋮ Vector optimization with generalized cone locally connected functions

Cites Work

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• Locally connected sets and functions
• Generalized arcwise-connected functions and characterizations of local- global minimum properties
• Proper efficiency with respect to cones
• Perfect duality for convexlike programs
• Nine kinds of quasiconcavity and concavity
• Locally connected functions and optimality
• Quasiconcavity and nondominated solutions in multiobjective programming
• Cone convexity, cone extreme points, and nondominated solutions in decision problems with multiobjectives
• Convexlike alternative theorems and mathematical programming
• Optimality conditions for multiobjecttve and nonsmooth minimisation in abstract spaces
• Scalarization and lagrange duality in multiobjective optimization

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