Proper Efficiency and Generalized Nonconvex Duality for Vector Minimization Problems

OPSEARCH ◽  
1997 ◽  
Vol 34 (2) ◽  
pp. 105-115 ◽  
Author(s):  
P. Kanniappan ◽  
P. Pandian
Keyword(s):  
Proper Efficiency ◽  
Nonconvex Duality ◽  
Minimization Problems ◽  
Vector Minimization Problems

scholarly journals A density result in vector optimization

2006 ◽  
Vol 2006 ◽  
pp. 1-10
Author(s):  
Alexander J. Zaslavski
Keyword(s):  
Vector Optimization ◽  
Metric Space ◽  
Complete Metric Space ◽  
Density Result ◽  
Minimization Problems ◽  
Whole Class ◽  
Vector Minimization Problems

We study a class of vector minimization problems on a complete metric space such that all its bounded closed subsets are compact. We show that a subclass of minimization problems with a nonclosed set of minimal values is dense in the whole class of minimization problems.

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